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Finding the Fourth Proportional to 969.11, 1,452.45 and 695.74

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Solution

The fourth proportional to 969.11, 1,452.45 and 695.74 is: 1,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.11 : 1,452.45 = 695.74 : x
  2. Step 2: Convert to fraction form
    969.11/1,452.45 = 695.74/x
  3. Step 3: Cross multiply
    969.11x = 1,452.45 × 695.74
  4. Step 4: Simplify right side
    969.11x = 1,010,516.82
  5. Step 5: Solve for x
    x = 1,010,516.82/969.11
  6. Step 6: Final answer
    x = 1,042.73

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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.