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Finding the Fourth Proportional to 733.47, 1,097.60 and 588.17

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Solution

The fourth proportional to 733.47, 1,097.60 and 588.17 is: 880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.47 : 1,097.60 = 588.17 : x
  2. Step 2: Convert to fraction form
    733.47/1,097.60 = 588.17/x
  3. Step 3: Cross multiply
    733.47x = 1,097.60 × 588.17
  4. Step 4: Simplify right side
    733.47x = 645,566.96
  5. Step 5: Solve for x
    x = 645,566.96/733.47
  6. Step 6: Final answer
    x = 880.15

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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.