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Finding the Fourth Proportional to 733.14, 1,011.59 and 497.27

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Solution

The fourth proportional to 733.14, 1,011.59 and 497.27 is: 686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.14 : 1,011.59 = 497.27 : x
  2. Step 2: Convert to fraction form
    733.14/1,011.59 = 497.27/x
  3. Step 3: Cross multiply
    733.14x = 1,011.59 × 497.27
  4. Step 4: Simplify right side
    733.14x = 503,033.40
  5. Step 5: Solve for x
    x = 503,033.40/733.14
  6. Step 6: Final answer
    x = 686.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.