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Finding the Fourth Proportional to 1,470.87, 2,029.83 and 807.75

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Solution

The fourth proportional to 1,470.87, 2,029.83 and 807.75 is: 1,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.87 : 2,029.83 = 807.75 : x
  2. Step 2: Convert to fraction form
    1,470.87/2,029.83 = 807.75/x
  3. Step 3: Cross multiply
    1,470.87x = 2,029.83 × 807.75
  4. Step 4: Simplify right side
    1,470.87x = 1,639,591.14
  5. Step 5: Solve for x
    x = 1,639,591.14/1,470.87
  6. Step 6: Final answer
    x = 1,114.71

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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.