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Finding the Fourth Proportional to 1,380.29, 1,904.46 and 932.99

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Solution

The fourth proportional to 1,380.29, 1,904.46 and 932.99 is: 1,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.29 : 1,904.46 = 932.99 : x
  2. Step 2: Convert to fraction form
    1,380.29/1,904.46 = 932.99/x
  3. Step 3: Cross multiply
    1,380.29x = 1,904.46 × 932.99
  4. Step 4: Simplify right side
    1,380.29x = 1,776,843.25
  5. Step 5: Solve for x
    x = 1,776,843.25/1,380.29
  6. Step 6: Final answer
    x = 1,287.30

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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.