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Finding the Fourth Proportional to 1,235.04, 1,847.88 and 687.66

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Solution

The fourth proportional to 1,235.04, 1,847.88 and 687.66 is: 1,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.04 : 1,847.88 = 687.66 : x
  2. Step 2: Convert to fraction form
    1,235.04/1,847.88 = 687.66/x
  3. Step 3: Cross multiply
    1,235.04x = 1,847.88 × 687.66
  4. Step 4: Simplify right side
    1,235.04x = 1,270,713.16
  5. Step 5: Solve for x
    x = 1,270,713.16/1,235.04
  6. Step 6: Final answer
    x = 1,028.88

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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.