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Finding the Fourth Proportional to 1,131.65, 1,560.87 and 974.01

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Solution

The fourth proportional to 1,131.65, 1,560.87 and 974.01 is: 1,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.65 : 1,560.87 = 974.01 : x
  2. Step 2: Convert to fraction form
    1,131.65/1,560.87 = 974.01/x
  3. Step 3: Cross multiply
    1,131.65x = 1,560.87 × 974.01
  4. Step 4: Simplify right side
    1,131.65x = 1,520,290.31
  5. Step 5: Solve for x
    x = 1,520,290.31/1,131.65
  6. Step 6: Final answer
    x = 1,343.43

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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.