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Finding the Fourth Proportional to 1,389.18, 2,080.98 and 659.46

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Solution

The fourth proportional to 1,389.18, 2,080.98 and 659.46 is: 987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.18 : 2,080.98 = 659.46 : x
  2. Step 2: Convert to fraction form
    1,389.18/2,080.98 = 659.46/x
  3. Step 3: Cross multiply
    1,389.18x = 2,080.98 × 659.46
  4. Step 4: Simplify right side
    1,389.18x = 1,372,323.07
  5. Step 5: Solve for x
    x = 1,372,323.07/1,389.18
  6. Step 6: Final answer
    x = 987.87

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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.