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Finding the Fourth Proportional to 1,177.26, 1,624.17 and 734.98

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Solution

The fourth proportional to 1,177.26, 1,624.17 and 734.98 is: 1,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.26 : 1,624.17 = 734.98 : x
  2. Step 2: Convert to fraction form
    1,177.26/1,624.17 = 734.98/x
  3. Step 3: Cross multiply
    1,177.26x = 1,624.17 × 734.98
  4. Step 4: Simplify right side
    1,177.26x = 1,193,732.47
  5. Step 5: Solve for x
    x = 1,193,732.47/1,177.26
  6. Step 6: Final answer
    x = 1,013.99

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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.