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Finding the Fourth Proportional to 1,126.89, 1,681.25 and 1,003.77

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Solution

The fourth proportional to 1,126.89, 1,681.25 and 1,003.77 is: 1,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.89 : 1,681.25 = 1,003.77 : x
  2. Step 2: Convert to fraction form
    1,126.89/1,681.25 = 1,003.77/x
  3. Step 3: Cross multiply
    1,126.89x = 1,681.25 × 1,003.77
  4. Step 4: Simplify right side
    1,126.89x = 1,687,583.29
  5. Step 5: Solve for x
    x = 1,687,583.29/1,126.89
  6. Step 6: Final answer
    x = 1,497.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.