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Finding the Fourth Proportional to 706.59, 968.74 and 695.83

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Solution

The fourth proportional to 706.59, 968.74 and 695.83 is: 953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.59 : 968.74 = 695.83 : x
  2. Step 2: Convert to fraction form
    706.59/968.74 = 695.83/x
  3. Step 3: Cross multiply
    706.59x = 968.74 × 695.83
  4. Step 4: Simplify right side
    706.59x = 674,078.35
  5. Step 5: Solve for x
    x = 674,078.35/706.59
  6. Step 6: Final answer
    x = 953.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.