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Finding the Fourth Proportional to 785.76, 1,177.20 and 496.48

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Solution

The fourth proportional to 785.76, 1,177.20 and 496.48 is: 743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.76 : 1,177.20 = 496.48 : x
  2. Step 2: Convert to fraction form
    785.76/1,177.20 = 496.48/x
  3. Step 3: Cross multiply
    785.76x = 1,177.20 × 496.48
  4. Step 4: Simplify right side
    785.76x = 584,456.26
  5. Step 5: Solve for x
    x = 584,456.26/785.76
  6. Step 6: Final answer
    x = 743.81

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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.