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Finding the Fourth Proportional to 781.30, 1,171.59 and 456.82

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Solution

The fourth proportional to 781.30, 1,171.59 and 456.82 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.30 : 1,171.59 = 456.82 : x
  2. Step 2: Convert to fraction form
    781.30/1,171.59 = 456.82/x
  3. Step 3: Cross multiply
    781.30x = 1,171.59 × 456.82
  4. Step 4: Simplify right side
    781.30x = 535,205.74
  5. Step 5: Solve for x
    x = 535,205.74/781.30
  6. Step 6: Final answer
    x = 685.02

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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.