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Finding the Fourth Proportional to 1,470.49, 2,206.10 and 546.30

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Solution

The fourth proportional to 1,470.49, 2,206.10 and 546.30 is: 819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.49 : 2,206.10 = 546.30 : x
  2. Step 2: Convert to fraction form
    1,470.49/2,206.10 = 546.30/x
  3. Step 3: Cross multiply
    1,470.49x = 2,206.10 × 546.30
  4. Step 4: Simplify right side
    1,470.49x = 1,205,192.43
  5. Step 5: Solve for x
    x = 1,205,192.43/1,470.49
  6. Step 6: Final answer
    x = 819.59

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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.