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Finding the Fourth Proportional to 952.56, 1,315.02 and 638.04

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Solution

The fourth proportional to 952.56, 1,315.02 and 638.04 is: 880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.56 : 1,315.02 = 638.04 : x
  2. Step 2: Convert to fraction form
    952.56/1,315.02 = 638.04/x
  3. Step 3: Cross multiply
    952.56x = 1,315.02 × 638.04
  4. Step 4: Simplify right side
    952.56x = 839,035.36
  5. Step 5: Solve for x
    x = 839,035.36/952.56
  6. Step 6: Final answer
    x = 880.82

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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.