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Finding the Fourth Proportional to 732.74, 1,099.12 and 410.16

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Solution

The fourth proportional to 732.74, 1,099.12 and 410.16 is: 615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,099.12 = 410.16 : x
  2. Step 2: Convert to fraction form
    732.74/1,099.12 = 410.16/x
  3. Step 3: Cross multiply
    732.74x = 1,099.12 × 410.16
  4. Step 4: Simplify right side
    732.74x = 450,815.06
  5. Step 5: Solve for x
    x = 450,815.06/732.74
  6. Step 6: Final answer
    x = 615.25

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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.