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Finding the Fourth Proportional to 964.71, 1,330.43 and 633.02

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Solution

The fourth proportional to 964.71, 1,330.43 and 633.02 is: 872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.71 : 1,330.43 = 633.02 : x
  2. Step 2: Convert to fraction form
    964.71/1,330.43 = 633.02/x
  3. Step 3: Cross multiply
    964.71x = 1,330.43 × 633.02
  4. Step 4: Simplify right side
    964.71x = 842,178.98
  5. Step 5: Solve for x
    x = 842,178.98/964.71
  6. Step 6: Final answer
    x = 872.99

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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.