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Finding the Fourth Proportional to 1,111.93, 1,667.57 and 418.10

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Solution

The fourth proportional to 1,111.93, 1,667.57 and 418.10 is: 627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.93 : 1,667.57 = 418.10 : x
  2. Step 2: Convert to fraction form
    1,111.93/1,667.57 = 418.10/x
  3. Step 3: Cross multiply
    1,111.93x = 1,667.57 × 418.10
  4. Step 4: Simplify right side
    1,111.93x = 697,200.59
  5. Step 5: Solve for x
    x = 697,200.59/1,111.93
  6. Step 6: Final answer
    x = 627.02

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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.