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Finding the Fourth Proportional to 1,110.90, 1,667.38 and 563.47

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Solution

The fourth proportional to 1,110.90, 1,667.38 and 563.47 is: 845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.90 : 1,667.38 = 563.47 : x
  2. Step 2: Convert to fraction form
    1,110.90/1,667.38 = 563.47/x
  3. Step 3: Cross multiply
    1,110.90x = 1,667.38 × 563.47
  4. Step 4: Simplify right side
    1,110.90x = 939,518.61
  5. Step 5: Solve for x
    x = 939,518.61/1,110.90
  6. Step 6: Final answer
    x = 845.73

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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.