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Finding the Fourth Proportional to 799.41, 1,102.65 and 488.91

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Solution

The fourth proportional to 799.41, 1,102.65 and 488.91 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.41 : 1,102.65 = 488.91 : x
  2. Step 2: Convert to fraction form
    799.41/1,102.65 = 488.91/x
  3. Step 3: Cross multiply
    799.41x = 1,102.65 × 488.91
  4. Step 4: Simplify right side
    799.41x = 539,096.61
  5. Step 5: Solve for x
    x = 539,096.61/799.41
  6. Step 6: Final answer
    x = 674.37

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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.