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Finding the Fourth Proportional to 716.61, 988.28 and 492.44

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Solution

The fourth proportional to 716.61, 988.28 and 492.44 is: 679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.61 : 988.28 = 492.44 : x
  2. Step 2: Convert to fraction form
    716.61/988.28 = 492.44/x
  3. Step 3: Cross multiply
    716.61x = 988.28 × 492.44
  4. Step 4: Simplify right side
    716.61x = 486,661.20
  5. Step 5: Solve for x
    x = 486,661.20/716.61
  6. Step 6: Final answer
    x = 679.12

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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.