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Finding the Fourth Proportional to 781.00, 1,171.50 and 415.79

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Solution

The fourth proportional to 781.00, 1,171.50 and 415.79 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.00 : 1,171.50 = 415.79 : x
  2. Step 2: Convert to fraction form
    781.00/1,171.50 = 415.79/x
  3. Step 3: Cross multiply
    781.00x = 1,171.50 × 415.79
  4. Step 4: Simplify right side
    781.00x = 487,092.52
  5. Step 5: Solve for x
    x = 487,092.52/781.00
  6. Step 6: Final answer
    x = 623.68

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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.