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Finding the Fourth Proportional to 695.40, 964.43 and 663.40

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Solution

The fourth proportional to 695.40, 964.43 and 663.40 is: 920.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.40 : 964.43 = 663.40 : x
  2. Step 2: Convert to fraction form
    695.40/964.43 = 663.40/x
  3. Step 3: Cross multiply
    695.40x = 964.43 × 663.40
  4. Step 4: Simplify right side
    695.40x = 639,802.86
  5. Step 5: Solve for x
    x = 639,802.86/695.40
  6. Step 6: Final answer
    x = 920.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.