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Finding the Fourth Proportional to 1,463.12, 2,194.20 and 732.50

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Solution

The fourth proportional to 1,463.12, 2,194.20 and 732.50 is: 1,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.12 : 2,194.20 = 732.50 : x
  2. Step 2: Convert to fraction form
    1,463.12/2,194.20 = 732.50/x
  3. Step 3: Cross multiply
    1,463.12x = 2,194.20 × 732.50
  4. Step 4: Simplify right side
    1,463.12x = 1,607,240.53
  5. Step 5: Solve for x
    x = 1,607,240.53/1,463.12
  6. Step 6: Final answer
    x = 1,098.51

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.