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Finding the Fourth Proportional to 1,559.49, 2,337.28 and 779.71

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Solution

The fourth proportional to 1,559.49, 2,337.28 and 779.71 is: 1,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.49 : 2,337.28 = 779.71 : x
  2. Step 2: Convert to fraction form
    1,559.49/2,337.28 = 779.71/x
  3. Step 3: Cross multiply
    1,559.49x = 2,337.28 × 779.71
  4. Step 4: Simplify right side
    1,559.49x = 1,822,400.59
  5. Step 5: Solve for x
    x = 1,822,400.59/1,559.49
  6. Step 6: Final answer
    x = 1,168.59

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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.