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Finding the Fourth Proportional to 716.11, 988.33 and 517.58

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Solution

The fourth proportional to 716.11, 988.33 and 517.58 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.11 : 988.33 = 517.58 : x
  2. Step 2: Convert to fraction form
    716.11/988.33 = 517.58/x
  3. Step 3: Cross multiply
    716.11x = 988.33 × 517.58
  4. Step 4: Simplify right side
    716.11x = 511,537.25
  5. Step 5: Solve for x
    x = 511,537.25/716.11
  6. Step 6: Final answer
    x = 714.33

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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.