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Finding the Fourth Proportional to 869.78, 1,302.24 and 479.36

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Solution

The fourth proportional to 869.78, 1,302.24 and 479.36 is: 717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.78 : 1,302.24 = 479.36 : x
  2. Step 2: Convert to fraction form
    869.78/1,302.24 = 479.36/x
  3. Step 3: Cross multiply
    869.78x = 1,302.24 × 479.36
  4. Step 4: Simplify right side
    869.78x = 624,241.77
  5. Step 5: Solve for x
    x = 624,241.77/869.78
  6. Step 6: Final answer
    x = 717.70

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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.