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Finding the Fourth Proportional to 784.92, 1,177.52 and 237.12

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Solution

The fourth proportional to 784.92, 1,177.52 and 237.12 is: 355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,177.52 = 237.12 : x
  2. Step 2: Convert to fraction form
    784.92/1,177.52 = 237.12/x
  3. Step 3: Cross multiply
    784.92x = 1,177.52 × 237.12
  4. Step 4: Simplify right side
    784.92x = 279,213.54
  5. Step 5: Solve for x
    x = 279,213.54/784.92
  6. Step 6: Final answer
    x = 355.72

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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.