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Finding the Fourth Proportional to 1,281.42, 1,769.04 and 986.04

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Solution

The fourth proportional to 1,281.42, 1,769.04 and 986.04 is: 1,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.42 : 1,769.04 = 986.04 : x
  2. Step 2: Convert to fraction form
    1,281.42/1,769.04 = 986.04/x
  3. Step 3: Cross multiply
    1,281.42x = 1,769.04 × 986.04
  4. Step 4: Simplify right side
    1,281.42x = 1,744,344.20
  5. Step 5: Solve for x
    x = 1,744,344.20/1,281.42
  6. Step 6: Final answer
    x = 1,361.26

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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.