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Finding the Fourth Proportional to 723.24, 1,083.06 and 430.02

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Solution

The fourth proportional to 723.24, 1,083.06 and 430.02 is: 643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 1,083.06 = 430.02 : x
  2. Step 2: Convert to fraction form
    723.24/1,083.06 = 430.02/x
  3. Step 3: Cross multiply
    723.24x = 1,083.06 × 430.02
  4. Step 4: Simplify right side
    723.24x = 465,737.46
  5. Step 5: Solve for x
    x = 465,737.46/723.24
  6. Step 6: Final answer
    x = 643.96

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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.