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Finding the Fourth Proportional to 1,339.60, 1,848.41 and 779.99

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Solution

The fourth proportional to 1,339.60, 1,848.41 and 779.99 is: 1,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.60 : 1,848.41 = 779.99 : x
  2. Step 2: Convert to fraction form
    1,339.60/1,848.41 = 779.99/x
  3. Step 3: Cross multiply
    1,339.60x = 1,848.41 × 779.99
  4. Step 4: Simplify right side
    1,339.60x = 1,441,741.32
  5. Step 5: Solve for x
    x = 1,441,741.32/1,339.60
  6. Step 6: Final answer
    x = 1,076.25

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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.