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Finding the Fourth Proportional to 695.96, 959.78 and 548.32

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Solution

The fourth proportional to 695.96, 959.78 and 548.32 is: 756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.96 : 959.78 = 548.32 : x
  2. Step 2: Convert to fraction form
    695.96/959.78 = 548.32/x
  3. Step 3: Cross multiply
    695.96x = 959.78 × 548.32
  4. Step 4: Simplify right side
    695.96x = 526,266.57
  5. Step 5: Solve for x
    x = 526,266.57/695.96
  6. Step 6: Final answer
    x = 756.17

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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.