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Finding the Fourth Proportional to 902.79, 1,352.97 and 658.17

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Solution

The fourth proportional to 902.79, 1,352.97 and 658.17 is: 986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.79 : 1,352.97 = 658.17 : x
  2. Step 2: Convert to fraction form
    902.79/1,352.97 = 658.17/x
  3. Step 3: Cross multiply
    902.79x = 1,352.97 × 658.17
  4. Step 4: Simplify right side
    902.79x = 890,484.26
  5. Step 5: Solve for x
    x = 890,484.26/902.79
  6. Step 6: Final answer
    x = 986.37

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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.