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Finding the Fourth Proportional to 1,084.42, 1,618.78 and 953.05

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Solution

The fourth proportional to 1,084.42, 1,618.78 and 953.05 is: 1,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.42 : 1,618.78 = 953.05 : x
  2. Step 2: Convert to fraction form
    1,084.42/1,618.78 = 953.05/x
  3. Step 3: Cross multiply
    1,084.42x = 1,618.78 × 953.05
  4. Step 4: Simplify right side
    1,084.42x = 1,542,778.28
  5. Step 5: Solve for x
    x = 1,542,778.28/1,084.42
  6. Step 6: Final answer
    x = 1,422.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.