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Finding the Fourth Proportional to 1,111.14, 1,667.55 and 418.46

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Solution

The fourth proportional to 1,111.14, 1,667.55 and 418.46 is: 628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.14 : 1,667.55 = 418.46 : x
  2. Step 2: Convert to fraction form
    1,111.14/1,667.55 = 418.46/x
  3. Step 3: Cross multiply
    1,111.14x = 1,667.55 × 418.46
  4. Step 4: Simplify right side
    1,111.14x = 697,794.64
  5. Step 5: Solve for x
    x = 697,794.64/1,111.14
  6. Step 6: Final answer
    x = 628.00

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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.