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Finding the Fourth Proportional to 1,116.72, 1,540.44 and 702

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Solution

The fourth proportional to 1,116.72, 1,540.44 and 702 is: 968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.72 : 1,540.44 = 702 : x
  2. Step 2: Convert to fraction form
    1,116.72/1,540.44 = 702/x
  3. Step 3: Cross multiply
    1,116.72x = 1,540.44 × 702
  4. Step 4: Simplify right side
    1,116.72x = 1,081,388.88
  5. Step 5: Solve for x
    x = 1,081,388.88/1,116.72
  6. Step 6: Final answer
    x = 968.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.