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Finding the Fourth Proportional to 1,110.89, 1,667.36 and 563.47

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Solution

The fourth proportional to 1,110.89, 1,667.36 and 563.47 is: 845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.89 : 1,667.36 = 563.47 : x
  2. Step 2: Convert to fraction form
    1,110.89/1,667.36 = 563.47/x
  3. Step 3: Cross multiply
    1,110.89x = 1,667.36 × 563.47
  4. Step 4: Simplify right side
    1,110.89x = 939,503.17
  5. Step 5: Solve for x
    x = 939,503.17/1,110.89
  6. Step 6: Final answer
    x = 845.72

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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.