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Finding the Fourth Proportional to 1,340.35, 1,849.59 and 780.73

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Solution

The fourth proportional to 1,340.35, 1,849.59 and 780.73 is: 1,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.35 : 1,849.59 = 780.73 : x
  2. Step 2: Convert to fraction form
    1,340.35/1,849.59 = 780.73/x
  3. Step 3: Cross multiply
    1,340.35x = 1,849.59 × 780.73
  4. Step 4: Simplify right side
    1,340.35x = 1,444,025.78
  5. Step 5: Solve for x
    x = 1,444,025.78/1,340.35
  6. Step 6: Final answer
    x = 1,077.35

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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.