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Finding the Fourth Proportional to 873.38, 1,206.04 and 638.66

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Solution

The fourth proportional to 873.38, 1,206.04 and 638.66 is: 881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.38 : 1,206.04 = 638.66 : x
  2. Step 2: Convert to fraction form
    873.38/1,206.04 = 638.66/x
  3. Step 3: Cross multiply
    873.38x = 1,206.04 × 638.66
  4. Step 4: Simplify right side
    873.38x = 770,249.51
  5. Step 5: Solve for x
    x = 770,249.51/873.38
  6. Step 6: Final answer
    x = 881.92

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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.