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Finding the Fourth Proportional to 1,389.80, 2,084.99 and 465.27

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Solution

The fourth proportional to 1,389.80, 2,084.99 and 465.27 is: 698.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.80 : 2,084.99 = 465.27 : x
  2. Step 2: Convert to fraction form
    1,389.80/2,084.99 = 465.27/x
  3. Step 3: Cross multiply
    1,389.80x = 2,084.99 × 465.27
  4. Step 4: Simplify right side
    1,389.80x = 970,080.97
  5. Step 5: Solve for x
    x = 970,080.97/1,389.80
  6. Step 6: Final answer
    x = 698.00

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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.