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Finding the Fourth Proportional to 1,167.83, 1,608.35 and 969.52

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Solution

The fourth proportional to 1,167.83, 1,608.35 and 969.52 is: 1,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.83 : 1,608.35 = 969.52 : x
  2. Step 2: Convert to fraction form
    1,167.83/1,608.35 = 969.52/x
  3. Step 3: Cross multiply
    1,167.83x = 1,608.35 × 969.52
  4. Step 4: Simplify right side
    1,167.83x = 1,559,327.49
  5. Step 5: Solve for x
    x = 1,559,327.49/1,167.83
  6. Step 6: Final answer
    x = 1,335.24

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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.