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Finding the Fourth Proportional to 1,470.62, 2,206.99 and 546.31

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Solution

The fourth proportional to 1,470.62, 2,206.99 and 546.31 is: 819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.62 : 2,206.99 = 546.31 : x
  2. Step 2: Convert to fraction form
    1,470.62/2,206.99 = 546.31/x
  3. Step 3: Cross multiply
    1,470.62x = 2,206.99 × 546.31
  4. Step 4: Simplify right side
    1,470.62x = 1,205,700.71
  5. Step 5: Solve for x
    x = 1,205,700.71/1,470.62
  6. Step 6: Final answer
    x = 819.86

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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.