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Finding the Fourth Proportional to 1,169.82, 1,754.73 and 476.33

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Solution

The fourth proportional to 1,169.82, 1,754.73 and 476.33 is: 714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.82 : 1,754.73 = 476.33 : x
  2. Step 2: Convert to fraction form
    1,169.82/1,754.73 = 476.33/x
  3. Step 3: Cross multiply
    1,169.82x = 1,754.73 × 476.33
  4. Step 4: Simplify right side
    1,169.82x = 835,825.47
  5. Step 5: Solve for x
    x = 835,825.47/1,169.82
  6. Step 6: Final answer
    x = 714.49

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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.