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Finding the Fourth Proportional to 723.04, 997.40 and 489.76

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Solution

The fourth proportional to 723.04, 997.40 and 489.76 is: 675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.04 : 997.40 = 489.76 : x
  2. Step 2: Convert to fraction form
    723.04/997.40 = 489.76/x
  3. Step 3: Cross multiply
    723.04x = 997.40 × 489.76
  4. Step 4: Simplify right side
    723.04x = 488,486.62
  5. Step 5: Solve for x
    x = 488,486.62/723.04
  6. Step 6: Final answer
    x = 675.60

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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.