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Finding the Fourth Proportional to 789.80, 1,088.78 and 658.58

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Solution

The fourth proportional to 789.80, 1,088.78 and 658.58 is: 907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,088.78 = 658.58 : x
  2. Step 2: Convert to fraction form
    789.80/1,088.78 = 658.58/x
  3. Step 3: Cross multiply
    789.80x = 1,088.78 × 658.58
  4. Step 4: Simplify right side
    789.80x = 717,040.00
  5. Step 5: Solve for x
    x = 717,040.00/789.80
  6. Step 6: Final answer
    x = 907.88

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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.