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Finding the Fourth Proportional to 782.52, 1,173.74 and 397.76

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Solution

The fourth proportional to 782.52, 1,173.74 and 397.76 is: 596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.52 : 1,173.74 = 397.76 : x
  2. Step 2: Convert to fraction form
    782.52/1,173.74 = 397.76/x
  3. Step 3: Cross multiply
    782.52x = 1,173.74 × 397.76
  4. Step 4: Simplify right side
    782.52x = 466,866.82
  5. Step 5: Solve for x
    x = 466,866.82/782.52
  6. Step 6: Final answer
    x = 596.62

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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.