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Finding the Fourth Proportional to 925.88, 1,277.66 and 552.86

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Solution

The fourth proportional to 925.88, 1,277.66 and 552.86 is: 762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.88 : 1,277.66 = 552.86 : x
  2. Step 2: Convert to fraction form
    925.88/1,277.66 = 552.86/x
  3. Step 3: Cross multiply
    925.88x = 1,277.66 × 552.86
  4. Step 4: Simplify right side
    925.88x = 706,367.11
  5. Step 5: Solve for x
    x = 706,367.11/925.88
  6. Step 6: Final answer
    x = 762.91

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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.