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Finding the Fourth Proportional to 1,807.86, 2,711.52 and 712.97

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Solution

The fourth proportional to 1,807.86, 2,711.52 and 712.97 is: 1,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.86 : 2,711.52 = 712.97 : x
  2. Step 2: Convert to fraction form
    1,807.86/2,711.52 = 712.97/x
  3. Step 3: Cross multiply
    1,807.86x = 2,711.52 × 712.97
  4. Step 4: Simplify right side
    1,807.86x = 1,933,232.41
  5. Step 5: Solve for x
    x = 1,933,232.41/1,807.86
  6. Step 6: Final answer
    x = 1,069.35

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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.