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Finding the Fourth Proportional to 1,339.49, 1,848.30 and 779.82

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Solution

The fourth proportional to 1,339.49, 1,848.30 and 779.82 is: 1,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.49 : 1,848.30 = 779.82 : x
  2. Step 2: Convert to fraction form
    1,339.49/1,848.30 = 779.82/x
  3. Step 3: Cross multiply
    1,339.49x = 1,848.30 × 779.82
  4. Step 4: Simplify right side
    1,339.49x = 1,441,341.31
  5. Step 5: Solve for x
    x = 1,441,341.31/1,339.49
  6. Step 6: Final answer
    x = 1,076.04

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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.