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Finding the Fourth Proportional to 1,058.57, 1,583.39 and 911.15

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Solution

The fourth proportional to 1,058.57, 1,583.39 and 911.15 is: 1,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.57 : 1,583.39 = 911.15 : x
  2. Step 2: Convert to fraction form
    1,058.57/1,583.39 = 911.15/x
  3. Step 3: Cross multiply
    1,058.57x = 1,583.39 × 911.15
  4. Step 4: Simplify right side
    1,058.57x = 1,442,693.33
  5. Step 5: Solve for x
    x = 1,442,693.33/1,058.57
  6. Step 6: Final answer
    x = 1,362.88

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