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Finding the Fourth Proportional to 1,158.72, 1,600.41 and 982.26

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Solution

The fourth proportional to 1,158.72, 1,600.41 and 982.26 is: 1,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.72 : 1,600.41 = 982.26 : x
  2. Step 2: Convert to fraction form
    1,158.72/1,600.41 = 982.26/x
  3. Step 3: Cross multiply
    1,158.72x = 1,600.41 × 982.26
  4. Step 4: Simplify right side
    1,158.72x = 1,572,018.73
  5. Step 5: Solve for x
    x = 1,572,018.73/1,158.72
  6. Step 6: Final answer
    x = 1,356.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.