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Finding the Fourth Proportional to 1,067.84, 1,592.42 and 1,058.12

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Solution

The fourth proportional to 1,067.84, 1,592.42 and 1,058.12 is: 1,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.84 : 1,592.42 = 1,058.12 : x
  2. Step 2: Convert to fraction form
    1,067.84/1,592.42 = 1,058.12/x
  3. Step 3: Cross multiply
    1,067.84x = 1,592.42 × 1,058.12
  4. Step 4: Simplify right side
    1,067.84x = 1,684,971.45
  5. Step 5: Solve for x
    x = 1,684,971.45/1,067.84
  6. Step 6: Final answer
    x = 1,577.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.