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Finding the Fourth Proportional to 925.26, 1,277.42 and 576.42

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Solution

The fourth proportional to 925.26, 1,277.42 and 576.42 is: 795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.26 : 1,277.42 = 576.42 : x
  2. Step 2: Convert to fraction form
    925.26/1,277.42 = 576.42/x
  3. Step 3: Cross multiply
    925.26x = 1,277.42 × 576.42
  4. Step 4: Simplify right side
    925.26x = 736,327.55
  5. Step 5: Solve for x
    x = 736,327.55/925.26
  6. Step 6: Final answer
    x = 795.81

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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.