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Finding the Fourth Proportional to 1,330.29, 1,993.01 and 918.27

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Solution

The fourth proportional to 1,330.29, 1,993.01 and 918.27 is: 1,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.29 : 1,993.01 = 918.27 : x
  2. Step 2: Convert to fraction form
    1,330.29/1,993.01 = 918.27/x
  3. Step 3: Cross multiply
    1,330.29x = 1,993.01 × 918.27
  4. Step 4: Simplify right side
    1,330.29x = 1,830,116.70
  5. Step 5: Solve for x
    x = 1,830,116.70/1,330.29
  6. Step 6: Final answer
    x = 1,375.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.