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Finding the Fourth Proportional to 723.64, 1,084.90 and 451.48

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Solution

The fourth proportional to 723.64, 1,084.90 and 451.48 is: 676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 1,084.90 = 451.48 : x
  2. Step 2: Convert to fraction form
    723.64/1,084.90 = 451.48/x
  3. Step 3: Cross multiply
    723.64x = 1,084.90 × 451.48
  4. Step 4: Simplify right side
    723.64x = 489,810.65
  5. Step 5: Solve for x
    x = 489,810.65/723.64
  6. Step 6: Final answer
    x = 676.87

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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.