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Finding the Fourth Proportional to 782.58, 1,174.47 and 371.76

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Solution

The fourth proportional to 782.58, 1,174.47 and 371.76 is: 557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.58 : 1,174.47 = 371.76 : x
  2. Step 2: Convert to fraction form
    782.58/1,174.47 = 371.76/x
  3. Step 3: Cross multiply
    782.58x = 1,174.47 × 371.76
  4. Step 4: Simplify right side
    782.58x = 436,620.97
  5. Step 5: Solve for x
    x = 436,620.97/782.58
  6. Step 6: Final answer
    x = 557.93

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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.