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Finding the Fourth Proportional to 925.97, 1,275.65 and 645.70

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Solution

The fourth proportional to 925.97, 1,275.65 and 645.70 is: 889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.97 : 1,275.65 = 645.70 : x
  2. Step 2: Convert to fraction form
    925.97/1,275.65 = 645.70/x
  3. Step 3: Cross multiply
    925.97x = 1,275.65 × 645.70
  4. Step 4: Simplify right side
    925.97x = 823,680.79
  5. Step 5: Solve for x
    x = 823,680.79/925.97
  6. Step 6: Final answer
    x = 889.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.