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Finding the Fourth Proportional to 1,039.08, 1,559.70 and 711.30

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Solution

The fourth proportional to 1,039.08, 1,559.70 and 711.30 is: 1,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.08 : 1,559.70 = 711.30 : x
  2. Step 2: Convert to fraction form
    1,039.08/1,559.70 = 711.30/x
  3. Step 3: Cross multiply
    1,039.08x = 1,559.70 × 711.30
  4. Step 4: Simplify right side
    1,039.08x = 1,109,414.61
  5. Step 5: Solve for x
    x = 1,109,414.61/1,039.08
  6. Step 6: Final answer
    x = 1,067.69

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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.