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Finding the Fourth Proportional to 1,115.34, 1,672.88 and 422.12

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Solution

The fourth proportional to 1,115.34, 1,672.88 and 422.12 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.34 : 1,672.88 = 422.12 : x
  2. Step 2: Convert to fraction form
    1,115.34/1,672.88 = 422.12/x
  3. Step 3: Cross multiply
    1,115.34x = 1,672.88 × 422.12
  4. Step 4: Simplify right side
    1,115.34x = 706,145.63
  5. Step 5: Solve for x
    x = 706,145.63/1,115.34
  6. Step 6: Final answer
    x = 633.12

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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.