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Finding the Fourth Proportional to 925.76, 1,277.20 and 594.14

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Solution

The fourth proportional to 925.76, 1,277.20 and 594.14 is: 819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.76 : 1,277.20 = 594.14 : x
  2. Step 2: Convert to fraction form
    925.76/1,277.20 = 594.14/x
  3. Step 3: Cross multiply
    925.76x = 1,277.20 × 594.14
  4. Step 4: Simplify right side
    925.76x = 758,835.61
  5. Step 5: Solve for x
    x = 758,835.61/925.76
  6. Step 6: Final answer
    x = 819.69

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1.5x scale

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.