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Finding the Fourth Proportional to 782.44, 1,174.14 and 458.44

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Solution

The fourth proportional to 782.44, 1,174.14 and 458.44 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.44 : 1,174.14 = 458.44 : x
  2. Step 2: Convert to fraction form
    782.44/1,174.14 = 458.44/x
  3. Step 3: Cross multiply
    782.44x = 1,174.14 × 458.44
  4. Step 4: Simplify right side
    782.44x = 538,272.74
  5. Step 5: Solve for x
    x = 538,272.74/782.44
  6. Step 6: Final answer
    x = 687.94

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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.