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Finding the Fourth Proportional to 1,470.92, 2,029.68 and 807.73

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Solution

The fourth proportional to 1,470.92, 2,029.68 and 807.73 is: 1,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.92 : 2,029.68 = 807.73 : x
  2. Step 2: Convert to fraction form
    1,470.92/2,029.68 = 807.73/x
  3. Step 3: Cross multiply
    1,470.92x = 2,029.68 × 807.73
  4. Step 4: Simplify right side
    1,470.92x = 1,639,433.43
  5. Step 5: Solve for x
    x = 1,639,433.43/1,470.92
  6. Step 6: Final answer
    x = 1,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.