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Finding the Fourth Proportional to 732.64, 1,097.52 and 342.10

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Solution

The fourth proportional to 732.64, 1,097.52 and 342.10 is: 512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.64 : 1,097.52 = 342.10 : x
  2. Step 2: Convert to fraction form
    732.64/1,097.52 = 342.10/x
  3. Step 3: Cross multiply
    732.64x = 1,097.52 × 342.10
  4. Step 4: Simplify right side
    732.64x = 375,461.59
  5. Step 5: Solve for x
    x = 375,461.59/732.64
  6. Step 6: Final answer
    x = 512.48

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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.