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Finding the Fourth Proportional to 866.96, 1,300.24 and 282.02

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Solution

The fourth proportional to 866.96, 1,300.24 and 282.02 is: 422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.96 : 1,300.24 = 282.02 : x
  2. Step 2: Convert to fraction form
    866.96/1,300.24 = 282.02/x
  3. Step 3: Cross multiply
    866.96x = 1,300.24 × 282.02
  4. Step 4: Simplify right side
    866.96x = 366,693.68
  5. Step 5: Solve for x
    x = 366,693.68/866.96
  6. Step 6: Final answer
    x = 422.96

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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.