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Finding the Fourth Proportional to 723.84, 997.02 and 630.42

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Solution

The fourth proportional to 723.84, 997.02 and 630.42 is: 868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.84 : 997.02 = 630.42 : x
  2. Step 2: Convert to fraction form
    723.84/997.02 = 630.42/x
  3. Step 3: Cross multiply
    723.84x = 997.02 × 630.42
  4. Step 4: Simplify right side
    723.84x = 628,541.35
  5. Step 5: Solve for x
    x = 628,541.35/723.84
  6. Step 6: Final answer
    x = 868.34

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