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Finding the Fourth Proportional to 969.76, 1,452.37 and 709.11

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Solution

The fourth proportional to 969.76, 1,452.37 and 709.11 is: 1,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.76 : 1,452.37 = 709.11 : x
  2. Step 2: Convert to fraction form
    969.76/1,452.37 = 709.11/x
  3. Step 3: Cross multiply
    969.76x = 1,452.37 × 709.11
  4. Step 4: Simplify right side
    969.76x = 1,029,882.83
  5. Step 5: Solve for x
    x = 1,029,882.83/969.76
  6. Step 6: Final answer
    x = 1,062.00

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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.