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Finding the Fourth Proportional to 1,131.89, 1,561.14 and 974.78

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Solution

The fourth proportional to 1,131.89, 1,561.14 and 974.78 is: 1,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.89 : 1,561.14 = 974.78 : x
  2. Step 2: Convert to fraction form
    1,131.89/1,561.14 = 974.78/x
  3. Step 3: Cross multiply
    1,131.89x = 1,561.14 × 974.78
  4. Step 4: Simplify right side
    1,131.89x = 1,521,760.24
  5. Step 5: Solve for x
    x = 1,521,760.24/1,131.89
  6. Step 6: Final answer
    x = 1,344.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.