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Finding the Fourth Proportional to 1,113.93, 1,669.68 and 789.53

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Solution

The fourth proportional to 1,113.93, 1,669.68 and 789.53 is: 1,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.93 : 1,669.68 = 789.53 : x
  2. Step 2: Convert to fraction form
    1,113.93/1,669.68 = 789.53/x
  3. Step 3: Cross multiply
    1,113.93x = 1,669.68 × 789.53
  4. Step 4: Simplify right side
    1,113.93x = 1,318,254.10
  5. Step 5: Solve for x
    x = 1,318,254.10/1,113.93
  6. Step 6: Final answer
    x = 1,183.43

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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.