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Finding the Fourth Proportional to 1,030.12, 1,542.16 and 682.80

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Solution

The fourth proportional to 1,030.12, 1,542.16 and 682.80 is: 1,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.12 : 1,542.16 = 682.80 : x
  2. Step 2: Convert to fraction form
    1,030.12/1,542.16 = 682.80/x
  3. Step 3: Cross multiply
    1,030.12x = 1,542.16 × 682.80
  4. Step 4: Simplify right side
    1,030.12x = 1,052,986.85
  5. Step 5: Solve for x
    x = 1,052,986.85/1,030.12
  6. Step 6: Final answer
    x = 1,022.20

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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.