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Finding the Fourth Proportional to 980.12, 1,352.22 and 601.88

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Solution

The fourth proportional to 980.12, 1,352.22 and 601.88 is: 830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.12 : 1,352.22 = 601.88 : x
  2. Step 2: Convert to fraction form
    980.12/1,352.22 = 601.88/x
  3. Step 3: Cross multiply
    980.12x = 1,352.22 × 601.88
  4. Step 4: Simplify right side
    980.12x = 813,874.17
  5. Step 5: Solve for x
    x = 813,874.17/980.12
  6. Step 6: Final answer
    x = 830.38

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1.5x scale

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.