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Finding the Fourth Proportional to 990.57, 1,367.06 and 658.78

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Solution

The fourth proportional to 990.57, 1,367.06 and 658.78 is: 909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.57 : 1,367.06 = 658.78 : x
  2. Step 2: Convert to fraction form
    990.57/1,367.06 = 658.78/x
  3. Step 3: Cross multiply
    990.57x = 1,367.06 × 658.78
  4. Step 4: Simplify right side
    990.57x = 900,591.79
  5. Step 5: Solve for x
    x = 900,591.79/990.57
  6. Step 6: Final answer
    x = 909.17

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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.