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Finding the Fourth Proportional to 925.17, 1,276.76 and 594.21

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Solution

The fourth proportional to 925.17, 1,276.76 and 594.21 is: 820.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.17 : 1,276.76 = 594.21 : x
  2. Step 2: Convert to fraction form
    925.17/1,276.76 = 594.21/x
  3. Step 3: Cross multiply
    925.17x = 1,276.76 × 594.21
  4. Step 4: Simplify right side
    925.17x = 758,660.59
  5. Step 5: Solve for x
    x = 758,660.59/925.17
  6. Step 6: Final answer
    x = 820.02

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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.