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Finding the Fourth Proportional to 1,298, 1,791.24 and 774.14

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Solution

The fourth proportional to 1,298, 1,791.24 and 774.14 is: 1,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298 : 1,791.24 = 774.14 : x
  2. Step 2: Convert to fraction form
    1,298/1,791.24 = 774.14/x
  3. Step 3: Cross multiply
    1,298x = 1,791.24 × 774.14
  4. Step 4: Simplify right side
    1,298x = 1,386,670.53
  5. Step 5: Solve for x
    x = 1,386,670.53/1,298
  6. Step 6: Final answer
    x = 1,068.31

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Why These Related Problems?

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