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Finding the Fourth Proportional to 1,559.38, 2,338.13 and 779.60

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Solution

The fourth proportional to 1,559.38, 2,338.13 and 779.60 is: 1,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.38 : 2,338.13 = 779.60 : x
  2. Step 2: Convert to fraction form
    1,559.38/2,338.13 = 779.60/x
  3. Step 3: Cross multiply
    1,559.38x = 2,338.13 × 779.60
  4. Step 4: Simplify right side
    1,559.38x = 1,822,806.15
  5. Step 5: Solve for x
    x = 1,822,806.15/1,559.38
  6. Step 6: Final answer
    x = 1,168.93

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Why These Related Problems?

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