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Finding the Fourth Proportional to 1,339.69, 1,848.64 and 779.98

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Solution

The fourth proportional to 1,339.69, 1,848.64 and 779.98 is: 1,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.69 : 1,848.64 = 779.98 : x
  2. Step 2: Convert to fraction form
    1,339.69/1,848.64 = 779.98/x
  3. Step 3: Cross multiply
    1,339.69x = 1,848.64 × 779.98
  4. Step 4: Simplify right side
    1,339.69x = 1,441,902.23
  5. Step 5: Solve for x
    x = 1,441,902.23/1,339.69
  6. Step 6: Final answer
    x = 1,076.30

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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.