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Finding the Fourth Proportional to 925.92, 1,277.82 and 511.92

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Solution

The fourth proportional to 925.92, 1,277.82 and 511.92 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.92 : 1,277.82 = 511.92 : x
  2. Step 2: Convert to fraction form
    925.92/1,277.82 = 511.92/x
  3. Step 3: Cross multiply
    925.92x = 1,277.82 × 511.92
  4. Step 4: Simplify right side
    925.92x = 654,141.61
  5. Step 5: Solve for x
    x = 654,141.61/925.92
  6. Step 6: Final answer
    x = 706.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.