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Finding the Fourth Proportional to 723.61, 1,083.67 and 462.81

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Solution

The fourth proportional to 723.61, 1,083.67 and 462.81 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.61 : 1,083.67 = 462.81 : x
  2. Step 2: Convert to fraction form
    723.61/1,083.67 = 462.81/x
  3. Step 3: Cross multiply
    723.61x = 1,083.67 × 462.81
  4. Step 4: Simplify right side
    723.61x = 501,535.57
  5. Step 5: Solve for x
    x = 501,535.57/723.61
  6. Step 6: Final answer
    x = 693.10

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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.