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Finding the Fourth Proportional to 1,177.23, 1,625.31 and 757.74

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Solution

The fourth proportional to 1,177.23, 1,625.31 and 757.74 is: 1,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.23 : 1,625.31 = 757.74 : x
  2. Step 2: Convert to fraction form
    1,177.23/1,625.31 = 757.74/x
  3. Step 3: Cross multiply
    1,177.23x = 1,625.31 × 757.74
  4. Step 4: Simplify right side
    1,177.23x = 1,231,562.40
  5. Step 5: Solve for x
    x = 1,231,562.40/1,177.23
  6. Step 6: Final answer
    x = 1,046.15

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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.