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Finding the Fourth Proportional to 1,199.72, 1,656.33 and 867.80

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Solution

The fourth proportional to 1,199.72, 1,656.33 and 867.80 is: 1,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.72 : 1,656.33 = 867.80 : x
  2. Step 2: Convert to fraction form
    1,199.72/1,656.33 = 867.80/x
  3. Step 3: Cross multiply
    1,199.72x = 1,656.33 × 867.80
  4. Step 4: Simplify right side
    1,199.72x = 1,437,363.17
  5. Step 5: Solve for x
    x = 1,437,363.17/1,199.72
  6. Step 6: Final answer
    x = 1,198.08

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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.