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Finding the Fourth Proportional to 1,297.44, 1,791 and 924.48

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Solution

The fourth proportional to 1,297.44, 1,791 and 924.48 is: 1,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.44 : 1,791 = 924.48 : x
  2. Step 2: Convert to fraction form
    1,297.44/1,791 = 924.48/x
  3. Step 3: Cross multiply
    1,297.44x = 1,791 × 924.48
  4. Step 4: Simplify right side
    1,297.44x = 1,655,743.68
  5. Step 5: Solve for x
    x = 1,655,743.68/1,297.44
  6. Step 6: Final answer
    x = 1,276.16

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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.