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Finding the Fourth Proportional to 1,500.59, 2,251.19 and 527.38

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Solution

The fourth proportional to 1,500.59, 2,251.19 and 527.38 is: 791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.59 : 2,251.19 = 527.38 : x
  2. Step 2: Convert to fraction form
    1,500.59/2,251.19 = 527.38/x
  3. Step 3: Cross multiply
    1,500.59x = 2,251.19 × 527.38
  4. Step 4: Simplify right side
    1,500.59x = 1,187,228.27
  5. Step 5: Solve for x
    x = 1,187,228.27/1,500.59
  6. Step 6: Final answer
    x = 791.17

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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.