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Finding the Fourth Proportional to 782.33, 1,171.87 and 492.35

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Solution

The fourth proportional to 782.33, 1,171.87 and 492.35 is: 737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.33 : 1,171.87 = 492.35 : x
  2. Step 2: Convert to fraction form
    782.33/1,171.87 = 492.35/x
  3. Step 3: Cross multiply
    782.33x = 1,171.87 × 492.35
  4. Step 4: Simplify right side
    782.33x = 576,963.10
  5. Step 5: Solve for x
    x = 576,963.10/782.33
  6. Step 6: Final answer
    x = 737.50

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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.