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Finding the Fourth Proportional to 866.82, 1,298.97 and 476.49

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Solution

The fourth proportional to 866.82, 1,298.97 and 476.49 is: 714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.82 : 1,298.97 = 476.49 : x
  2. Step 2: Convert to fraction form
    866.82/1,298.97 = 476.49/x
  3. Step 3: Cross multiply
    866.82x = 1,298.97 × 476.49
  4. Step 4: Simplify right side
    866.82x = 618,946.22
  5. Step 5: Solve for x
    x = 618,946.22/866.82
  6. Step 6: Final answer
    x = 714.04

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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.