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Finding the Fourth Proportional to 732.16, 1,097.70 and 342.10

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Solution

The fourth proportional to 732.16, 1,097.70 and 342.10 is: 512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.16 : 1,097.70 = 342.10 : x
  2. Step 2: Convert to fraction form
    732.16/1,097.70 = 342.10/x
  3. Step 3: Cross multiply
    732.16x = 1,097.70 × 342.10
  4. Step 4: Simplify right side
    732.16x = 375,523.17
  5. Step 5: Solve for x
    x = 375,523.17/732.16
  6. Step 6: Final answer
    x = 512.90

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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.