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Finding the Fourth Proportional to 723.43, 999.62 and 577.27

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Solution

The fourth proportional to 723.43, 999.62 and 577.27 is: 797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.43 : 999.62 = 577.27 : x
  2. Step 2: Convert to fraction form
    723.43/999.62 = 577.27/x
  3. Step 3: Cross multiply
    723.43x = 999.62 × 577.27
  4. Step 4: Simplify right side
    723.43x = 577,050.64
  5. Step 5: Solve for x
    x = 577,050.64/723.43
  6. Step 6: Final answer
    x = 797.66

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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.