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Finding the Fourth Proportional to 1,029.80, 1,543.26 and 682.14

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Solution

The fourth proportional to 1,029.80, 1,543.26 and 682.14 is: 1,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.80 : 1,543.26 = 682.14 : x
  2. Step 2: Convert to fraction form
    1,029.80/1,543.26 = 682.14/x
  3. Step 3: Cross multiply
    1,029.80x = 1,543.26 × 682.14
  4. Step 4: Simplify right side
    1,029.80x = 1,052,719.38
  5. Step 5: Solve for x
    x = 1,052,719.38/1,029.80
  6. Step 6: Final answer
    x = 1,022.26

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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.