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Finding the Fourth Proportional to 925.76, 1,277.82 and 576.74

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Solution

The fourth proportional to 925.76, 1,277.82 and 576.74 is: 796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.76 : 1,277.82 = 576.74 : x
  2. Step 2: Convert to fraction form
    925.76/1,277.82 = 576.74/x
  3. Step 3: Cross multiply
    925.76x = 1,277.82 × 576.74
  4. Step 4: Simplify right side
    925.76x = 736,969.91
  5. Step 5: Solve for x
    x = 736,969.91/925.76
  6. Step 6: Final answer
    x = 796.07

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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.