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Finding the Fourth Proportional to 862.23, 1,294.74 and 818.40

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Solution

The fourth proportional to 862.23, 1,294.74 and 818.40 is: 1,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.23 : 1,294.74 = 818.40 : x
  2. Step 2: Convert to fraction form
    862.23/1,294.74 = 818.40/x
  3. Step 3: Cross multiply
    862.23x = 1,294.74 × 818.40
  4. Step 4: Simplify right side
    862.23x = 1,059,615.22
  5. Step 5: Solve for x
    x = 1,059,615.22/862.23
  6. Step 6: Final answer
    x = 1,228.92

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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.