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Finding the Fourth Proportional to 723.03, 997.87 and 524.50

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Solution

The fourth proportional to 723.03, 997.87 and 524.50 is: 723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.03 : 997.87 = 524.50 : x
  2. Step 2: Convert to fraction form
    723.03/997.87 = 524.50/x
  3. Step 3: Cross multiply
    723.03x = 997.87 × 524.50
  4. Step 4: Simplify right side
    723.03x = 523,382.82
  5. Step 5: Solve for x
    x = 523,382.82/723.03
  6. Step 6: Final answer
    x = 723.87

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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.