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Finding the Fourth Proportional to 925.94, 1,277.59 and 552.86

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Solution

The fourth proportional to 925.94, 1,277.59 and 552.86 is: 762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.94 : 1,277.59 = 552.86 : x
  2. Step 2: Convert to fraction form
    925.94/1,277.59 = 552.86/x
  3. Step 3: Cross multiply
    925.94x = 1,277.59 × 552.86
  4. Step 4: Simplify right side
    925.94x = 706,326.46
  5. Step 5: Solve for x
    x = 706,326.46/925.94
  6. Step 6: Final answer
    x = 762.82

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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.