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Finding the Fourth Proportional to 1,287.82, 1,931.76 and 422.14

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Solution

The fourth proportional to 1,287.82, 1,931.76 and 422.14 is: 633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.82 : 1,931.76 = 422.14 : x
  2. Step 2: Convert to fraction form
    1,287.82/1,931.76 = 422.14/x
  3. Step 3: Cross multiply
    1,287.82x = 1,931.76 × 422.14
  4. Step 4: Simplify right side
    1,287.82x = 815,473.17
  5. Step 5: Solve for x
    x = 815,473.17/1,287.82
  6. Step 6: Final answer
    x = 633.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.