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Finding the Fourth Proportional to 1,181.69, 1,630.27 and 709.60

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Solution

The fourth proportional to 1,181.69, 1,630.27 and 709.60 is: 978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.69 : 1,630.27 = 709.60 : x
  2. Step 2: Convert to fraction form
    1,181.69/1,630.27 = 709.60/x
  3. Step 3: Cross multiply
    1,181.69x = 1,630.27 × 709.60
  4. Step 4: Simplify right side
    1,181.69x = 1,156,839.59
  5. Step 5: Solve for x
    x = 1,156,839.59/1,181.69
  6. Step 6: Final answer
    x = 978.97

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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.