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Finding the Fourth Proportional to 1,179.08, 1,776.71 and 978.16

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Solution

The fourth proportional to 1,179.08, 1,776.71 and 978.16 is: 1,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.08 : 1,776.71 = 978.16 : x
  2. Step 2: Convert to fraction form
    1,179.08/1,776.71 = 978.16/x
  3. Step 3: Cross multiply
    1,179.08x = 1,776.71 × 978.16
  4. Step 4: Simplify right side
    1,179.08x = 1,737,906.65
  5. Step 5: Solve for x
    x = 1,737,906.65/1,179.08
  6. Step 6: Final answer
    x = 1,473.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.