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Finding the Fourth Proportional to 1,158.30, 1,598.27 and 716.18

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Solution

The fourth proportional to 1,158.30, 1,598.27 and 716.18 is: 988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.30 : 1,598.27 = 716.18 : x
  2. Step 2: Convert to fraction form
    1,158.30/1,598.27 = 716.18/x
  3. Step 3: Cross multiply
    1,158.30x = 1,598.27 × 716.18
  4. Step 4: Simplify right side
    1,158.30x = 1,144,637.44
  5. Step 5: Solve for x
    x = 1,144,637.44/1,158.30
  6. Step 6: Final answer
    x = 988.20

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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.