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Finding the Fourth Proportional to 925.76, 1,277.16 and 594.12

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Solution

The fourth proportional to 925.76, 1,277.16 and 594.12 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.76 : 1,277.16 = 594.12 : x
  2. Step 2: Convert to fraction form
    925.76/1,277.16 = 594.12/x
  3. Step 3: Cross multiply
    925.76x = 1,277.16 × 594.12
  4. Step 4: Simplify right side
    925.76x = 758,786.30
  5. Step 5: Solve for x
    x = 758,786.30/925.76
  6. Step 6: Final answer
    x = 819.64

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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.