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Finding the Fourth Proportional to 1,158.24, 1,597.14 and 990.84

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Solution

The fourth proportional to 1,158.24, 1,597.14 and 990.84 is: 1,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.24 : 1,597.14 = 990.84 : x
  2. Step 2: Convert to fraction form
    1,158.24/1,597.14 = 990.84/x
  3. Step 3: Cross multiply
    1,158.24x = 1,597.14 × 990.84
  4. Step 4: Simplify right side
    1,158.24x = 1,582,510.20
  5. Step 5: Solve for x
    x = 1,582,510.20/1,158.24
  6. Step 6: Final answer
    x = 1,366.31

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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.