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Finding the Fourth Proportional to 1,227.83, 1,698.77 and 1,040.72

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Solution

The fourth proportional to 1,227.83, 1,698.77 and 1,040.72 is: 1,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.83 : 1,698.77 = 1,040.72 : x
  2. Step 2: Convert to fraction form
    1,227.83/1,698.77 = 1,040.72/x
  3. Step 3: Cross multiply
    1,227.83x = 1,698.77 × 1,040.72
  4. Step 4: Simplify right side
    1,227.83x = 1,767,938.02
  5. Step 5: Solve for x
    x = 1,767,938.02/1,227.83
  6. Step 6: Final answer
    x = 1,439.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.