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Finding the Fourth Proportional to 1,107.58, 1,528.78 and 641.92

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Solution

The fourth proportional to 1,107.58, 1,528.78 and 641.92 is: 886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.58 : 1,528.78 = 641.92 : x
  2. Step 2: Convert to fraction form
    1,107.58/1,528.78 = 641.92/x
  3. Step 3: Cross multiply
    1,107.58x = 1,528.78 × 641.92
  4. Step 4: Simplify right side
    1,107.58x = 981,354.46
  5. Step 5: Solve for x
    x = 981,354.46/1,107.58
  6. Step 6: Final answer
    x = 886.03

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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.