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Finding the Fourth Proportional to 1,112.32, 1,667.84 and 418.88

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Solution

The fourth proportional to 1,112.32, 1,667.84 and 418.88 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.32 : 1,667.84 = 418.88 : x
  2. Step 2: Convert to fraction form
    1,112.32/1,667.84 = 418.88/x
  3. Step 3: Cross multiply
    1,112.32x = 1,667.84 × 418.88
  4. Step 4: Simplify right side
    1,112.32x = 698,624.82
  5. Step 5: Solve for x
    x = 698,624.82/1,112.32
  6. Step 6: Final answer
    x = 628.08

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