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Finding the Fourth Proportional to 963.68, 1,330.32 and 632.12

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Solution

The fourth proportional to 963.68, 1,330.32 and 632.12 is: 872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.68 : 1,330.32 = 632.12 : x
  2. Step 2: Convert to fraction form
    963.68/1,330.32 = 632.12/x
  3. Step 3: Cross multiply
    963.68x = 1,330.32 × 632.12
  4. Step 4: Simplify right side
    963.68x = 840,921.88
  5. Step 5: Solve for x
    x = 840,921.88/963.68
  6. Step 6: Final answer
    x = 872.62

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1.5x scale

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.