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Finding the Fourth Proportional to 1,283.78, 1,772.20 and 969.18

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Solution

The fourth proportional to 1,283.78, 1,772.20 and 969.18 is: 1,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.78 : 1,772.20 = 969.18 : x
  2. Step 2: Convert to fraction form
    1,283.78/1,772.20 = 969.18/x
  3. Step 3: Cross multiply
    1,283.78x = 1,772.20 × 969.18
  4. Step 4: Simplify right side
    1,283.78x = 1,717,580.80
  5. Step 5: Solve for x
    x = 1,717,580.80/1,283.78
  6. Step 6: Final answer
    x = 1,337.91

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Why These Related Problems?

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