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Finding the Fourth Proportional to 862.55, 1,293.28 and 451.84

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Solution

The fourth proportional to 862.55, 1,293.28 and 451.84 is: 677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.55 : 1,293.28 = 451.84 : x
  2. Step 2: Convert to fraction form
    862.55/1,293.28 = 451.84/x
  3. Step 3: Cross multiply
    862.55x = 1,293.28 × 451.84
  4. Step 4: Simplify right side
    862.55x = 584,355.64
  5. Step 5: Solve for x
    x = 584,355.64/862.55
  6. Step 6: Final answer
    x = 677.47

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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.