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Finding the Fourth Proportional to 1,346.91, 1,858.54 and 779.83

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Solution

The fourth proportional to 1,346.91, 1,858.54 and 779.83 is: 1,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.91 : 1,858.54 = 779.83 : x
  2. Step 2: Convert to fraction form
    1,346.91/1,858.54 = 779.83/x
  3. Step 3: Cross multiply
    1,346.91x = 1,858.54 × 779.83
  4. Step 4: Simplify right side
    1,346.91x = 1,449,345.25
  5. Step 5: Solve for x
    x = 1,449,345.25/1,346.91
  6. Step 6: Final answer
    x = 1,076.05

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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.