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Finding the Fourth Proportional to 1,158.16, 1,597.94 and 660.61

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Solution

The fourth proportional to 1,158.16, 1,597.94 and 660.61 is: 911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.16 : 1,597.94 = 660.61 : x
  2. Step 2: Convert to fraction form
    1,158.16/1,597.94 = 660.61/x
  3. Step 3: Cross multiply
    1,158.16x = 1,597.94 × 660.61
  4. Step 4: Simplify right side
    1,158.16x = 1,055,621.14
  5. Step 5: Solve for x
    x = 1,055,621.14/1,158.16
  6. Step 6: Final answer
    x = 911.47

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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.