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Finding the Fourth Proportional to 1,158.69, 1,599.12 and 716.55

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Solution

The fourth proportional to 1,158.69, 1,599.12 and 716.55 is: 988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.69 : 1,599.12 = 716.55 : x
  2. Step 2: Convert to fraction form
    1,158.69/1,599.12 = 716.55/x
  3. Step 3: Cross multiply
    1,158.69x = 1,599.12 × 716.55
  4. Step 4: Simplify right side
    1,158.69x = 1,145,849.44
  5. Step 5: Solve for x
    x = 1,145,849.44/1,158.69
  6. Step 6: Final answer
    x = 988.92

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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.