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Finding the Fourth Proportional to 862.64, 1,293.56 and 314.44

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Solution

The fourth proportional to 862.64, 1,293.56 and 314.44 is: 471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.64 : 1,293.56 = 314.44 : x
  2. Step 2: Convert to fraction form
    862.64/1,293.56 = 314.44/x
  3. Step 3: Cross multiply
    862.64x = 1,293.56 × 314.44
  4. Step 4: Simplify right side
    862.64x = 406,747.01
  5. Step 5: Solve for x
    x = 406,747.01/862.64
  6. Step 6: Final answer
    x = 471.51

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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.