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Finding the Fourth Proportional to 1,167.47, 1,608.65 and 1,105.37

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Solution

The fourth proportional to 1,167.47, 1,608.65 and 1,105.37 is: 1,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.47 : 1,608.65 = 1,105.37 : x
  2. Step 2: Convert to fraction form
    1,167.47/1,608.65 = 1,105.37/x
  3. Step 3: Cross multiply
    1,167.47x = 1,608.65 × 1,105.37
  4. Step 4: Simplify right side
    1,167.47x = 1,778,153.45
  5. Step 5: Solve for x
    x = 1,778,153.45/1,167.47
  6. Step 6: Final answer
    x = 1,523.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.