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Finding the Fourth Proportional to 922.32, 1,382.42 and 575.74

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Solution

The fourth proportional to 922.32, 1,382.42 and 575.74 is: 862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.32 : 1,382.42 = 575.74 : x
  2. Step 2: Convert to fraction form
    922.32/1,382.42 = 575.74/x
  3. Step 3: Cross multiply
    922.32x = 1,382.42 × 575.74
  4. Step 4: Simplify right side
    922.32x = 795,917.66
  5. Step 5: Solve for x
    x = 795,917.66/922.32
  6. Step 6: Final answer
    x = 862.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.