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Finding the Fourth Proportional to 1,107.63, 1,528.94 and 734.73

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Solution

The fourth proportional to 1,107.63, 1,528.94 and 734.73 is: 1,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.63 : 1,528.94 = 734.73 : x
  2. Step 2: Convert to fraction form
    1,107.63/1,528.94 = 734.73/x
  3. Step 3: Cross multiply
    1,107.63x = 1,528.94 × 734.73
  4. Step 4: Simplify right side
    1,107.63x = 1,123,358.09
  5. Step 5: Solve for x
    x = 1,123,358.09/1,107.63
  6. Step 6: Final answer
    x = 1,014.20

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Why These Related Problems?

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