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Finding the Fourth Proportional to 1,127.64, 1,687.89 and 1,010.25

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Solution

The fourth proportional to 1,127.64, 1,687.89 and 1,010.25 is: 1,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.64 : 1,687.89 = 1,010.25 : x
  2. Step 2: Convert to fraction form
    1,127.64/1,687.89 = 1,010.25/x
  3. Step 3: Cross multiply
    1,127.64x = 1,687.89 × 1,010.25
  4. Step 4: Simplify right side
    1,127.64x = 1,705,190.87
  5. Step 5: Solve for x
    x = 1,705,190.87/1,127.64
  6. Step 6: Final answer
    x = 1,512.18

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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.