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Finding the Fourth Proportional to 963.94, 1,329.32 and 632.66

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Solution

The fourth proportional to 963.94, 1,329.32 and 632.66 is: 872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.94 : 1,329.32 = 632.66 : x
  2. Step 2: Convert to fraction form
    963.94/1,329.32 = 632.66/x
  3. Step 3: Cross multiply
    963.94x = 1,329.32 × 632.66
  4. Step 4: Simplify right side
    963.94x = 841,007.59
  5. Step 5: Solve for x
    x = 841,007.59/963.94
  6. Step 6: Final answer
    x = 872.47

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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.