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Finding the Fourth Proportional to 723.48, 1,083.60 and 667.59

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Solution

The fourth proportional to 723.48, 1,083.60 and 667.59 is: 999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 1,083.60 = 667.59 : x
  2. Step 2: Convert to fraction form
    723.48/1,083.60 = 667.59/x
  3. Step 3: Cross multiply
    723.48x = 1,083.60 × 667.59
  4. Step 4: Simplify right side
    723.48x = 723,400.52
  5. Step 5: Solve for x
    x = 723,400.52/723.48
  6. Step 6: Final answer
    x = 999.89

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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.