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Finding the Fourth Proportional to 717.10, 989.06 and 496.10

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Solution

The fourth proportional to 717.10, 989.06 and 496.10 is: 684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.10 : 989.06 = 496.10 : x
  2. Step 2: Convert to fraction form
    717.10/989.06 = 496.10/x
  3. Step 3: Cross multiply
    717.10x = 989.06 × 496.10
  4. Step 4: Simplify right side
    717.10x = 490,672.67
  5. Step 5: Solve for x
    x = 490,672.67/717.10
  6. Step 6: Final answer
    x = 684.25

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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.