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Finding the Fourth Proportional to 1,356.92, 2,033.57 and 698.78

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Solution

The fourth proportional to 1,356.92, 2,033.57 and 698.78 is: 1,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.92 : 2,033.57 = 698.78 : x
  2. Step 2: Convert to fraction form
    1,356.92/2,033.57 = 698.78/x
  3. Step 3: Cross multiply
    1,356.92x = 2,033.57 × 698.78
  4. Step 4: Simplify right side
    1,356.92x = 1,421,013.44
  5. Step 5: Solve for x
    x = 1,421,013.44/1,356.92
  6. Step 6: Final answer
    x = 1,047.24

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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.