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Finding the Fourth Proportional to 834.21, 1,151.10 and 461.19

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Solution

The fourth proportional to 834.21, 1,151.10 and 461.19 is: 636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.21 : 1,151.10 = 461.19 : x
  2. Step 2: Convert to fraction form
    834.21/1,151.10 = 461.19/x
  3. Step 3: Cross multiply
    834.21x = 1,151.10 × 461.19
  4. Step 4: Simplify right side
    834.21x = 530,875.81
  5. Step 5: Solve for x
    x = 530,875.81/834.21
  6. Step 6: Final answer
    x = 636.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 835.21, 1,152.48 and 462.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.