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Finding the Fourth Proportional to 1,047.91, 1,572.17 and 500.11

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Solution

The fourth proportional to 1,047.91, 1,572.17 and 500.11 is: 750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.91 : 1,572.17 = 500.11 : x
  2. Step 2: Convert to fraction form
    1,047.91/1,572.17 = 500.11/x
  3. Step 3: Cross multiply
    1,047.91x = 1,572.17 × 500.11
  4. Step 4: Simplify right side
    1,047.91x = 786,257.94
  5. Step 5: Solve for x
    x = 786,257.94/1,047.91
  6. Step 6: Final answer
    x = 750.31

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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.