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Finding the Fourth Proportional to 1,298.24, 1,790.56 and 774.16

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Solution

The fourth proportional to 1,298.24, 1,790.56 and 774.16 is: 1,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.24 : 1,790.56 = 774.16 : x
  2. Step 2: Convert to fraction form
    1,298.24/1,790.56 = 774.16/x
  3. Step 3: Cross multiply
    1,298.24x = 1,790.56 × 774.16
  4. Step 4: Simplify right side
    1,298.24x = 1,386,179.93
  5. Step 5: Solve for x
    x = 1,386,179.93/1,298.24
  6. Step 6: Final answer
    x = 1,067.74

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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.