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Finding the Fourth Proportional to 925.16, 1,276.83 and 594.38

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Solution

The fourth proportional to 925.16, 1,276.83 and 594.38 is: 820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.16 : 1,276.83 = 594.38 : x
  2. Step 2: Convert to fraction form
    925.16/1,276.83 = 594.38/x
  3. Step 3: Cross multiply
    925.16x = 1,276.83 × 594.38
  4. Step 4: Simplify right side
    925.16x = 758,922.22
  5. Step 5: Solve for x
    x = 758,922.22/925.16
  6. Step 6: Final answer
    x = 820.31

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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.