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Finding the Fourth Proportional to 716.75, 988.56 and 436.88

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Solution

The fourth proportional to 716.75, 988.56 and 436.88 is: 602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.75 : 988.56 = 436.88 : x
  2. Step 2: Convert to fraction form
    716.75/988.56 = 436.88/x
  3. Step 3: Cross multiply
    716.75x = 988.56 × 436.88
  4. Step 4: Simplify right side
    716.75x = 431,882.09
  5. Step 5: Solve for x
    x = 431,882.09/716.75
  6. Step 6: Final answer
    x = 602.56

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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.