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Finding the Fourth Proportional to 1,049.27, 1,572.77 and 500.28

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Solution

The fourth proportional to 1,049.27, 1,572.77 and 500.28 is: 749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.27 : 1,572.77 = 500.28 : x
  2. Step 2: Convert to fraction form
    1,049.27/1,572.77 = 500.28/x
  3. Step 3: Cross multiply
    1,049.27x = 1,572.77 × 500.28
  4. Step 4: Simplify right side
    1,049.27x = 786,822.87
  5. Step 5: Solve for x
    x = 786,822.87/1,049.27
  6. Step 6: Final answer
    x = 749.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.