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Finding the Fourth Proportional to 723.07, 997.81 and 527.41

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Solution

The fourth proportional to 723.07, 997.81 and 527.41 is: 727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.07 : 997.81 = 527.41 : x
  2. Step 2: Convert to fraction form
    723.07/997.81 = 527.41/x
  3. Step 3: Cross multiply
    723.07x = 997.81 × 527.41
  4. Step 4: Simplify right side
    723.07x = 526,254.97
  5. Step 5: Solve for x
    x = 526,254.97/723.07
  6. Step 6: Final answer
    x = 727.81

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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.