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Finding the Fourth Proportional to 781.52, 1,171.56 and 415.88

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Solution

The fourth proportional to 781.52, 1,171.56 and 415.88 is: 623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.52 : 1,171.56 = 415.88 : x
  2. Step 2: Convert to fraction form
    781.52/1,171.56 = 415.88/x
  3. Step 3: Cross multiply
    781.52x = 1,171.56 × 415.88
  4. Step 4: Simplify right side
    781.52x = 487,228.37
  5. Step 5: Solve for x
    x = 487,228.37/781.52
  6. Step 6: Final answer
    x = 623.44

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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.