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Finding the Fourth Proportional to 695.66, 959.45 and 617.02

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Solution

The fourth proportional to 695.66, 959.45 and 617.02 is: 850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 959.45 = 617.02 : x
  2. Step 2: Convert to fraction form
    695.66/959.45 = 617.02/x
  3. Step 3: Cross multiply
    695.66x = 959.45 × 617.02
  4. Step 4: Simplify right side
    695.66x = 591,994.36
  5. Step 5: Solve for x
    x = 591,994.36/695.66
  6. Step 6: Final answer
    x = 850.99

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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.