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Finding the Fourth Proportional to 784.92, 1,177.80 and 460.92

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Solution

The fourth proportional to 784.92, 1,177.80 and 460.92 is: 691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,177.80 = 460.92 : x
  2. Step 2: Convert to fraction form
    784.92/1,177.80 = 460.92/x
  3. Step 3: Cross multiply
    784.92x = 1,177.80 × 460.92
  4. Step 4: Simplify right side
    784.92x = 542,871.58
  5. Step 5: Solve for x
    x = 542,871.58/784.92
  6. Step 6: Final answer
    x = 691.63

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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.