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Finding the Fourth Proportional to 1,078.86, 1,488.71 and 724.71

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Solution

The fourth proportional to 1,078.86, 1,488.71 and 724.71 is: 1,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.86 : 1,488.71 = 724.71 : x
  2. Step 2: Convert to fraction form
    1,078.86/1,488.71 = 724.71/x
  3. Step 3: Cross multiply
    1,078.86x = 1,488.71 × 724.71
  4. Step 4: Simplify right side
    1,078.86x = 1,078,879.40
  5. Step 5: Solve for x
    x = 1,078,879.40/1,078.86
  6. Step 6: Final answer
    x = 1,000.02

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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.