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Finding the Fourth Proportional to 1,853.06, 2,780.67 and 698.90

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Solution

The fourth proportional to 1,853.06, 2,780.67 and 698.90 is: 1,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.06 : 2,780.67 = 698.90 : x
  2. Step 2: Convert to fraction form
    1,853.06/2,780.67 = 698.90/x
  3. Step 3: Cross multiply
    1,853.06x = 2,780.67 × 698.90
  4. Step 4: Simplify right side
    1,853.06x = 1,943,410.26
  5. Step 5: Solve for x
    x = 1,943,410.26/1,853.06
  6. Step 6: Final answer
    x = 1,048.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.