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Finding the Fourth Proportional to 1,132.38, 1,561.95 and 739.26

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Solution

The fourth proportional to 1,132.38, 1,561.95 and 739.26 is: 1,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.38 : 1,561.95 = 739.26 : x
  2. Step 2: Convert to fraction form
    1,132.38/1,561.95 = 739.26/x
  3. Step 3: Cross multiply
    1,132.38x = 1,561.95 × 739.26
  4. Step 4: Simplify right side
    1,132.38x = 1,154,687.16
  5. Step 5: Solve for x
    x = 1,154,687.16/1,132.38
  6. Step 6: Final answer
    x = 1,019.70

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Why These Related Problems?

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