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Finding the Fourth Proportional to 1,115.62, 1,539.56 and 695.97

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Solution

The fourth proportional to 1,115.62, 1,539.56 and 695.97 is: 960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.62 : 1,539.56 = 695.97 : x
  2. Step 2: Convert to fraction form
    1,115.62/1,539.56 = 695.97/x
  3. Step 3: Cross multiply
    1,115.62x = 1,539.56 × 695.97
  4. Step 4: Simplify right side
    1,115.62x = 1,071,485.40
  5. Step 5: Solve for x
    x = 1,071,485.40/1,115.62
  6. Step 6: Final answer
    x = 960.44

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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.