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Finding the Fourth Proportional to 1,111.38, 1,666.73 and 418.15

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Solution

The fourth proportional to 1,111.38, 1,666.73 and 418.15 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.38 : 1,666.73 = 418.15 : x
  2. Step 2: Convert to fraction form
    1,111.38/1,666.73 = 418.15/x
  3. Step 3: Cross multiply
    1,111.38x = 1,666.73 × 418.15
  4. Step 4: Simplify right side
    1,111.38x = 696,932.73
  5. Step 5: Solve for x
    x = 696,932.73/1,111.38
  6. Step 6: Final answer
    x = 627.09

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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.