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Finding the Fourth Proportional to 925.52, 1,277.22 and 511.52

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Solution

The fourth proportional to 925.52, 1,277.22 and 511.52 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.52 : 1,277.22 = 511.52 : x
  2. Step 2: Convert to fraction form
    925.52/1,277.22 = 511.52/x
  3. Step 3: Cross multiply
    925.52x = 1,277.22 × 511.52
  4. Step 4: Simplify right side
    925.52x = 653,323.57
  5. Step 5: Solve for x
    x = 653,323.57/925.52
  6. Step 6: Final answer
    x = 705.90

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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.