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Finding the Fourth Proportional to 1,785.51, 2,677.20 and 688.97

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Solution

The fourth proportional to 1,785.51, 2,677.20 and 688.97 is: 1,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.51 : 2,677.20 = 688.97 : x
  2. Step 2: Convert to fraction form
    1,785.51/2,677.20 = 688.97/x
  3. Step 3: Cross multiply
    1,785.51x = 2,677.20 × 688.97
  4. Step 4: Simplify right side
    1,785.51x = 1,844,497.10
  5. Step 5: Solve for x
    x = 1,844,497.10/1,785.51
  6. Step 6: Final answer
    x = 1,033.04

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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.