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Finding the Fourth Proportional to 723.83, 1,086.05 and 450.15

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Solution

The fourth proportional to 723.83, 1,086.05 and 450.15 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.83 : 1,086.05 = 450.15 : x
  2. Step 2: Convert to fraction form
    723.83/1,086.05 = 450.15/x
  3. Step 3: Cross multiply
    723.83x = 1,086.05 × 450.15
  4. Step 4: Simplify right side
    723.83x = 488,885.41
  5. Step 5: Solve for x
    x = 488,885.41/723.83
  6. Step 6: Final answer
    x = 675.41

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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.