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Finding the Fourth Proportional to 1,058.10, 1,585.80 and 936.60

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Solution

The fourth proportional to 1,058.10, 1,585.80 and 936.60 is: 1,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.10 : 1,585.80 = 936.60 : x
  2. Step 2: Convert to fraction form
    1,058.10/1,585.80 = 936.60/x
  3. Step 3: Cross multiply
    1,058.10x = 1,585.80 × 936.60
  4. Step 4: Simplify right side
    1,058.10x = 1,485,260.28
  5. Step 5: Solve for x
    x = 1,485,260.28/1,058.10
  6. Step 6: Final answer
    x = 1,403.71

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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.