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Finding the Fourth Proportional to 716.42, 987.80 and 598.56

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Solution

The fourth proportional to 716.42, 987.80 and 598.56 is: 825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.42 : 987.80 = 598.56 : x
  2. Step 2: Convert to fraction form
    716.42/987.80 = 598.56/x
  3. Step 3: Cross multiply
    716.42x = 987.80 × 598.56
  4. Step 4: Simplify right side
    716.42x = 591,257.57
  5. Step 5: Solve for x
    x = 591,257.57/716.42
  6. Step 6: Final answer
    x = 825.29

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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.