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Finding the Fourth Proportional to 807.80, 1,211.49 and 456.66

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Solution

The fourth proportional to 807.80, 1,211.49 and 456.66 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.80 : 1,211.49 = 456.66 : x
  2. Step 2: Convert to fraction form
    807.80/1,211.49 = 456.66/x
  3. Step 3: Cross multiply
    807.80x = 1,211.49 × 456.66
  4. Step 4: Simplify right side
    807.80x = 553,239.02
  5. Step 5: Solve for x
    x = 553,239.02/807.80
  6. Step 6: Final answer
    x = 684.88

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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.