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Finding the Fourth Proportional to 723.27, 1,083.45 and 430.05

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Solution

The fourth proportional to 723.27, 1,083.45 and 430.05 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.27 : 1,083.45 = 430.05 : x
  2. Step 2: Convert to fraction form
    723.27/1,083.45 = 430.05/x
  3. Step 3: Cross multiply
    723.27x = 1,083.45 × 430.05
  4. Step 4: Simplify right side
    723.27x = 465,937.67
  5. Step 5: Solve for x
    x = 465,937.67/723.27
  6. Step 6: Final answer
    x = 644.21

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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.