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Finding the Fourth Proportional to 1,126.56, 1,687.23 and 577.38

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Solution

The fourth proportional to 1,126.56, 1,687.23 and 577.38 is: 864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.56 : 1,687.23 = 577.38 : x
  2. Step 2: Convert to fraction form
    1,126.56/1,687.23 = 577.38/x
  3. Step 3: Cross multiply
    1,126.56x = 1,687.23 × 577.38
  4. Step 4: Simplify right side
    1,126.56x = 974,172.86
  5. Step 5: Solve for x
    x = 974,172.86/1,126.56
  6. Step 6: Final answer
    x = 864.73

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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.