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Finding the Fourth Proportional to 979.94, 1,349.52 and 782.84

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Solution

The fourth proportional to 979.94, 1,349.52 and 782.84 is: 1,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.94 : 1,349.52 = 782.84 : x
  2. Step 2: Convert to fraction form
    979.94/1,349.52 = 782.84/x
  3. Step 3: Cross multiply
    979.94x = 1,349.52 × 782.84
  4. Step 4: Simplify right side
    979.94x = 1,056,458.24
  5. Step 5: Solve for x
    x = 1,056,458.24/979.94
  6. Step 6: Final answer
    x = 1,078.08

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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.