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Finding the Fourth Proportional to 732.65, 1,098.05 and 342.09

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Solution

The fourth proportional to 732.65, 1,098.05 and 342.09 is: 512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.65 : 1,098.05 = 342.09 : x
  2. Step 2: Convert to fraction form
    732.65/1,098.05 = 342.09/x
  3. Step 3: Cross multiply
    732.65x = 1,098.05 × 342.09
  4. Step 4: Simplify right side
    732.65x = 375,630.21
  5. Step 5: Solve for x
    x = 375,630.21/732.65
  6. Step 6: Final answer
    x = 512.70

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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.