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Finding the Fourth Proportional to 925.89, 1,277.55 and 576.42

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Solution

The fourth proportional to 925.89, 1,277.55 and 576.42 is: 795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.89 : 1,277.55 = 576.42 : x
  2. Step 2: Convert to fraction form
    925.89/1,277.55 = 576.42/x
  3. Step 3: Cross multiply
    925.89x = 1,277.55 × 576.42
  4. Step 4: Simplify right side
    925.89x = 736,405.37
  5. Step 5: Solve for x
    x = 736,405.37/925.89
  6. Step 6: Final answer
    x = 795.35

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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.