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Finding the Fourth Proportional to 1,049.13, 1,572.58 and 500.56

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Solution

The fourth proportional to 1,049.13, 1,572.58 and 500.56 is: 750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.13 : 1,572.58 = 500.56 : x
  2. Step 2: Convert to fraction form
    1,049.13/1,572.58 = 500.56/x
  3. Step 3: Cross multiply
    1,049.13x = 1,572.58 × 500.56
  4. Step 4: Simplify right side
    1,049.13x = 787,170.64
  5. Step 5: Solve for x
    x = 787,170.64/1,049.13
  6. Step 6: Final answer
    x = 750.31

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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.