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Finding the Fourth Proportional to 700.32, 964.20 and 663.84

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Solution

The fourth proportional to 700.32, 964.20 and 663.84 is: 913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.32 : 964.20 = 663.84 : x
  2. Step 2: Convert to fraction form
    700.32/964.20 = 663.84/x
  3. Step 3: Cross multiply
    700.32x = 964.20 × 663.84
  4. Step 4: Simplify right side
    700.32x = 640,074.53
  5. Step 5: Solve for x
    x = 640,074.53/700.32
  6. Step 6: Final answer
    x = 913.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.