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Finding the Fourth Proportional to 1,137.60, 1,697.48 and 1,067.94

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Solution

The fourth proportional to 1,137.60, 1,697.48 and 1,067.94 is: 1,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.60 : 1,697.48 = 1,067.94 : x
  2. Step 2: Convert to fraction form
    1,137.60/1,697.48 = 1,067.94/x
  3. Step 3: Cross multiply
    1,137.60x = 1,697.48 × 1,067.94
  4. Step 4: Simplify right side
    1,137.60x = 1,812,810.64
  5. Step 5: Solve for x
    x = 1,812,810.64/1,137.60
  6. Step 6: Final answer
    x = 1,593.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.