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Finding the Fourth Proportional to 732.96, 1,097.10 and 459.36

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Solution

The fourth proportional to 732.96, 1,097.10 and 459.36 is: 687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.96 : 1,097.10 = 459.36 : x
  2. Step 2: Convert to fraction form
    732.96/1,097.10 = 459.36/x
  3. Step 3: Cross multiply
    732.96x = 1,097.10 × 459.36
  4. Step 4: Simplify right side
    732.96x = 503,963.86
  5. Step 5: Solve for x
    x = 503,963.86/732.96
  6. Step 6: Final answer
    x = 687.57

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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.