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Finding the Fourth Proportional to 1,126.80, 1,687.86 and 577.32

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Solution

The fourth proportional to 1,126.80, 1,687.86 and 577.32 is: 864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.80 : 1,687.86 = 577.32 : x
  2. Step 2: Convert to fraction form
    1,126.80/1,687.86 = 577.32/x
  3. Step 3: Cross multiply
    1,126.80x = 1,687.86 × 577.32
  4. Step 4: Simplify right side
    1,126.80x = 974,435.34
  5. Step 5: Solve for x
    x = 974,435.34/1,126.80
  6. Step 6: Final answer
    x = 864.78

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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.