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Finding the Fourth Proportional to 865.20, 1,298.03 and 454.23

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Solution

The fourth proportional to 865.20, 1,298.03 and 454.23 is: 681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.20 : 1,298.03 = 454.23 : x
  2. Step 2: Convert to fraction form
    865.20/1,298.03 = 454.23/x
  3. Step 3: Cross multiply
    865.20x = 1,298.03 × 454.23
  4. Step 4: Simplify right side
    865.20x = 589,601.90
  5. Step 5: Solve for x
    x = 589,601.90/865.20
  6. Step 6: Final answer
    x = 681.46

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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.