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Finding the Fourth Proportional to 1,158.16, 1,597.91 and 716.20

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Solution

The fourth proportional to 1,158.16, 1,597.91 and 716.20 is: 988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.16 : 1,597.91 = 716.20 : x
  2. Step 2: Convert to fraction form
    1,158.16/1,597.91 = 716.20/x
  3. Step 3: Cross multiply
    1,158.16x = 1,597.91 × 716.20
  4. Step 4: Simplify right side
    1,158.16x = 1,144,433.85
  5. Step 5: Solve for x
    x = 1,144,433.85/1,158.16
  6. Step 6: Final answer
    x = 988.15

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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.