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Finding the Fourth Proportional to 925.54, 1,277.34 and 552.61

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Solution

The fourth proportional to 925.54, 1,277.34 and 552.61 is: 762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.54 : 1,277.34 = 552.61 : x
  2. Step 2: Convert to fraction form
    925.54/1,277.34 = 552.61/x
  3. Step 3: Cross multiply
    925.54x = 1,277.34 × 552.61
  4. Step 4: Simplify right side
    925.54x = 705,870.86
  5. Step 5: Solve for x
    x = 705,870.86/925.54
  6. Step 6: Final answer
    x = 762.66

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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.