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Finding the Fourth Proportional to 1,084.66, 1,618.85 and 998.08

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Solution

The fourth proportional to 1,084.66, 1,618.85 and 998.08 is: 1,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.66 : 1,618.85 = 998.08 : x
  2. Step 2: Convert to fraction form
    1,084.66/1,618.85 = 998.08/x
  3. Step 3: Cross multiply
    1,084.66x = 1,618.85 × 998.08
  4. Step 4: Simplify right side
    1,084.66x = 1,615,740.26
  5. Step 5: Solve for x
    x = 1,615,740.26/1,084.66
  6. Step 6: Final answer
    x = 1,489.63

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Why These Related Problems?

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