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Finding the Fourth Proportional to 1,442.96, 1,991.18 and 845.36

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Solution

The fourth proportional to 1,442.96, 1,991.18 and 845.36 is: 1,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.96 : 1,991.18 = 845.36 : x
  2. Step 2: Convert to fraction form
    1,442.96/1,991.18 = 845.36/x
  3. Step 3: Cross multiply
    1,442.96x = 1,991.18 × 845.36
  4. Step 4: Simplify right side
    1,442.96x = 1,683,256.08
  5. Step 5: Solve for x
    x = 1,683,256.08/1,442.96
  6. Step 6: Final answer
    x = 1,166.53

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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.