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Finding the Fourth Proportional to 723.08, 998.34 and 576.04

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Solution

The fourth proportional to 723.08, 998.34 and 576.04 is: 795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.08 : 998.34 = 576.04 : x
  2. Step 2: Convert to fraction form
    723.08/998.34 = 576.04/x
  3. Step 3: Cross multiply
    723.08x = 998.34 × 576.04
  4. Step 4: Simplify right side
    723.08x = 575,083.77
  5. Step 5: Solve for x
    x = 575,083.77/723.08
  6. Step 6: Final answer
    x = 795.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.