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Finding the Fourth Proportional to 1,340.42, 1,849.74 and 780.98

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Solution

The fourth proportional to 1,340.42, 1,849.74 and 780.98 is: 1,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.42 : 1,849.74 = 780.98 : x
  2. Step 2: Convert to fraction form
    1,340.42/1,849.74 = 780.98/x
  3. Step 3: Cross multiply
    1,340.42x = 1,849.74 × 780.98
  4. Step 4: Simplify right side
    1,340.42x = 1,444,600.70
  5. Step 5: Solve for x
    x = 1,444,600.70/1,340.42
  6. Step 6: Final answer
    x = 1,077.73

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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.