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Finding the Fourth Proportional to 695.39, 956.81 and 678.98

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Solution

The fourth proportional to 695.39, 956.81 and 678.98 is: 934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.39 : 956.81 = 678.98 : x
  2. Step 2: Convert to fraction form
    695.39/956.81 = 678.98/x
  3. Step 3: Cross multiply
    695.39x = 956.81 × 678.98
  4. Step 4: Simplify right side
    695.39x = 649,658.94
  5. Step 5: Solve for x
    x = 649,658.94/695.39
  6. Step 6: Final answer
    x = 934.24

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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.