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Finding the Fourth Proportional to 835.23, 1,152.57 and 462.19

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Solution

The fourth proportional to 835.23, 1,152.57 and 462.19 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.23 : 1,152.57 = 462.19 : x
  2. Step 2: Convert to fraction form
    835.23/1,152.57 = 462.19/x
  3. Step 3: Cross multiply
    835.23x = 1,152.57 × 462.19
  4. Step 4: Simplify right side
    835.23x = 532,706.33
  5. Step 5: Solve for x
    x = 532,706.33/835.23
  6. Step 6: Final answer
    x = 637.79

Related Problems

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Half scale
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Double scale
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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.