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Finding the Fourth Proportional to 1,207.80, 1,664.85 and 984.66

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Solution

The fourth proportional to 1,207.80, 1,664.85 and 984.66 is: 1,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.80 : 1,664.85 = 984.66 : x
  2. Step 2: Convert to fraction form
    1,207.80/1,664.85 = 984.66/x
  3. Step 3: Cross multiply
    1,207.80x = 1,664.85 × 984.66
  4. Step 4: Simplify right side
    1,207.80x = 1,639,319.19
  5. Step 5: Solve for x
    x = 1,639,319.19/1,207.80
  6. Step 6: Final answer
    x = 1,357.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.