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Finding the Fourth Proportional to 784.92, 1,177.35 and 265.17

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Solution

The fourth proportional to 784.92, 1,177.35 and 265.17 is: 397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.92 : 1,177.35 = 265.17 : x
  2. Step 2: Convert to fraction form
    784.92/1,177.35 = 265.17/x
  3. Step 3: Cross multiply
    784.92x = 1,177.35 × 265.17
  4. Step 4: Simplify right side
    784.92x = 312,197.90
  5. Step 5: Solve for x
    x = 312,197.90/784.92
  6. Step 6: Final answer
    x = 397.74

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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.