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Finding the Fourth Proportional to 1,177.85, 1,624.56 and 757.91

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Solution

The fourth proportional to 1,177.85, 1,624.56 and 757.91 is: 1,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.85 : 1,624.56 = 757.91 : x
  2. Step 2: Convert to fraction form
    1,177.85/1,624.56 = 757.91/x
  3. Step 3: Cross multiply
    1,177.85x = 1,624.56 × 757.91
  4. Step 4: Simplify right side
    1,177.85x = 1,231,270.27
  5. Step 5: Solve for x
    x = 1,231,270.27/1,177.85
  6. Step 6: Final answer
    x = 1,045.35

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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.