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Finding the Fourth Proportional to 715.76, 1,076.12 and 500.24

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Solution

The fourth proportional to 715.76, 1,076.12 and 500.24 is: 752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 1,076.12 = 500.24 : x
  2. Step 2: Convert to fraction form
    715.76/1,076.12 = 500.24/x
  3. Step 3: Cross multiply
    715.76x = 1,076.12 × 500.24
  4. Step 4: Simplify right side
    715.76x = 538,318.27
  5. Step 5: Solve for x
    x = 538,318.27/715.76
  6. Step 6: Final answer
    x = 752.09

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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.