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Finding the Fourth Proportional to 716.94, 988.92 and 496.02

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Solution

The fourth proportional to 716.94, 988.92 and 496.02 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.94 : 988.92 = 496.02 : x
  2. Step 2: Convert to fraction form
    716.94/988.92 = 496.02/x
  3. Step 3: Cross multiply
    716.94x = 988.92 × 496.02
  4. Step 4: Simplify right side
    716.94x = 490,524.10
  5. Step 5: Solve for x
    x = 490,524.10/716.94
  6. Step 6: Final answer
    x = 684.19

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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.