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Finding the Fourth Proportional to 1,348.46, 2,022.92 and 690.77

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Solution

The fourth proportional to 1,348.46, 2,022.92 and 690.77 is: 1,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.46 : 2,022.92 = 690.77 : x
  2. Step 2: Convert to fraction form
    1,348.46/2,022.92 = 690.77/x
  3. Step 3: Cross multiply
    1,348.46x = 2,022.92 × 690.77
  4. Step 4: Simplify right side
    1,348.46x = 1,397,358.88
  5. Step 5: Solve for x
    x = 1,397,358.88/1,348.46
  6. Step 6: Final answer
    x = 1,036.27

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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.