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Finding the Fourth Proportional to 1,149.59, 1,722.28 and 738.78

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Solution

The fourth proportional to 1,149.59, 1,722.28 and 738.78 is: 1,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.59 : 1,722.28 = 738.78 : x
  2. Step 2: Convert to fraction form
    1,149.59/1,722.28 = 738.78/x
  3. Step 3: Cross multiply
    1,149.59x = 1,722.28 × 738.78
  4. Step 4: Simplify right side
    1,149.59x = 1,272,386.02
  5. Step 5: Solve for x
    x = 1,272,386.02/1,149.59
  6. Step 6: Final answer
    x = 1,106.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.