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Finding the Fourth Proportional to 1,120.97, 1,681.24 and 299.26

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Solution

The fourth proportional to 1,120.97, 1,681.24 and 299.26 is: 448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.97 : 1,681.24 = 299.26 : x
  2. Step 2: Convert to fraction form
    1,120.97/1,681.24 = 299.26/x
  3. Step 3: Cross multiply
    1,120.97x = 1,681.24 × 299.26
  4. Step 4: Simplify right side
    1,120.97x = 503,127.88
  5. Step 5: Solve for x
    x = 503,127.88/1,120.97
  6. Step 6: Final answer
    x = 448.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.