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Finding the Fourth Proportional to 866.28, 1,304.51 and 624.48

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Solution

The fourth proportional to 866.28, 1,304.51 and 624.48 is: 940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.28 : 1,304.51 = 624.48 : x
  2. Step 2: Convert to fraction form
    866.28/1,304.51 = 624.48/x
  3. Step 3: Cross multiply
    866.28x = 1,304.51 × 624.48
  4. Step 4: Simplify right side
    866.28x = 814,637.28
  5. Step 5: Solve for x
    x = 814,637.28/866.28
  6. Step 6: Final answer
    x = 940.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.