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Finding the Fourth Proportional to 1,282.10, 1,769.54 and 834.53

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Solution

The fourth proportional to 1,282.10, 1,769.54 and 834.53 is: 1,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.10 : 1,769.54 = 834.53 : x
  2. Step 2: Convert to fraction form
    1,282.10/1,769.54 = 834.53/x
  3. Step 3: Cross multiply
    1,282.10x = 1,769.54 × 834.53
  4. Step 4: Simplify right side
    1,282.10x = 1,476,721.20
  5. Step 5: Solve for x
    x = 1,476,721.20/1,282.10
  6. Step 6: Final answer
    x = 1,151.80

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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.