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Finding the Fourth Proportional to 1,175.30, 1,771.21 and 1,058.31

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Solution

The fourth proportional to 1,175.30, 1,771.21 and 1,058.31 is: 1,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.30 : 1,771.21 = 1,058.31 : x
  2. Step 2: Convert to fraction form
    1,175.30/1,771.21 = 1,058.31/x
  3. Step 3: Cross multiply
    1,175.30x = 1,771.21 × 1,058.31
  4. Step 4: Simplify right side
    1,175.30x = 1,874,497.22
  5. Step 5: Solve for x
    x = 1,874,497.22/1,175.30
  6. Step 6: Final answer
    x = 1,594.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.