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Finding the Fourth Proportional to 695.98, 959.54 and 578.06

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Solution

The fourth proportional to 695.98, 959.54 and 578.06 is: 796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.98 : 959.54 = 578.06 : x
  2. Step 2: Convert to fraction form
    695.98/959.54 = 578.06/x
  3. Step 3: Cross multiply
    695.98x = 959.54 × 578.06
  4. Step 4: Simplify right side
    695.98x = 554,671.69
  5. Step 5: Solve for x
    x = 554,671.69/695.98
  6. Step 6: Final answer
    x = 796.96

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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.