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Finding the Fourth Proportional to 1,974.75, 2,962.41 and 658.07

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Solution

The fourth proportional to 1,974.75, 2,962.41 and 658.07 is: 987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.75 : 2,962.41 = 658.07 : x
  2. Step 2: Convert to fraction form
    1,974.75/2,962.41 = 658.07/x
  3. Step 3: Cross multiply
    1,974.75x = 2,962.41 × 658.07
  4. Step 4: Simplify right side
    1,974.75x = 1,949,473.15
  5. Step 5: Solve for x
    x = 1,949,473.15/1,974.75
  6. Step 6: Final answer
    x = 987.20

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1.5x scale

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.