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Finding the Fourth Proportional to 1,107.68, 1,529.55 and 812.43

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Solution

The fourth proportional to 1,107.68, 1,529.55 and 812.43 is: 1,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.68 : 1,529.55 = 812.43 : x
  2. Step 2: Convert to fraction form
    1,107.68/1,529.55 = 812.43/x
  3. Step 3: Cross multiply
    1,107.68x = 1,529.55 × 812.43
  4. Step 4: Simplify right side
    1,107.68x = 1,242,652.31
  5. Step 5: Solve for x
    x = 1,242,652.31/1,107.68
  6. Step 6: Final answer
    x = 1,121.86

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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.