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Finding the Fourth Proportional to 862.55, 1,293.44 and 277.37

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Solution

The fourth proportional to 862.55, 1,293.44 and 277.37 is: 415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.55 : 1,293.44 = 277.37 : x
  2. Step 2: Convert to fraction form
    862.55/1,293.44 = 277.37/x
  3. Step 3: Cross multiply
    862.55x = 1,293.44 × 277.37
  4. Step 4: Simplify right side
    862.55x = 358,753.60
  5. Step 5: Solve for x
    x = 358,753.60/862.55
  6. Step 6: Final answer
    x = 415.92

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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.