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Finding the Fourth Proportional to 964.06, 1,329.42 and 632.14

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Solution

The fourth proportional to 964.06, 1,329.42 and 632.14 is: 871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.06 : 1,329.42 = 632.14 : x
  2. Step 2: Convert to fraction form
    964.06/1,329.42 = 632.14/x
  3. Step 3: Cross multiply
    964.06x = 1,329.42 × 632.14
  4. Step 4: Simplify right side
    964.06x = 840,379.56
  5. Step 5: Solve for x
    x = 840,379.56/964.06
  6. Step 6: Final answer
    x = 871.71

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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.