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Finding the Fourth Proportional to 1,009.68, 1,512.69 and 969.58

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Solution

The fourth proportional to 1,009.68, 1,512.69 and 969.58 is: 1,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.68 : 1,512.69 = 969.58 : x
  2. Step 2: Convert to fraction form
    1,009.68/1,512.69 = 969.58/x
  3. Step 3: Cross multiply
    1,009.68x = 1,512.69 × 969.58
  4. Step 4: Simplify right side
    1,009.68x = 1,466,673.97
  5. Step 5: Solve for x
    x = 1,466,673.97/1,009.68
  6. Step 6: Final answer
    x = 1,452.61

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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.