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Finding the Fourth Proportional to 1,112.08, 1,667.04 and 564.52

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Solution

The fourth proportional to 1,112.08, 1,667.04 and 564.52 is: 846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.08 : 1,667.04 = 564.52 : x
  2. Step 2: Convert to fraction form
    1,112.08/1,667.04 = 564.52/x
  3. Step 3: Cross multiply
    1,112.08x = 1,667.04 × 564.52
  4. Step 4: Simplify right side
    1,112.08x = 941,077.42
  5. Step 5: Solve for x
    x = 941,077.42/1,112.08
  6. Step 6: Final answer
    x = 846.23

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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.