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Finding the Fourth Proportional to 1,107.48, 1,528.08 and 641.76

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Solution

The fourth proportional to 1,107.48, 1,528.08 and 641.76 is: 885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.48 : 1,528.08 = 641.76 : x
  2. Step 2: Convert to fraction form
    1,107.48/1,528.08 = 641.76/x
  3. Step 3: Cross multiply
    1,107.48x = 1,528.08 × 641.76
  4. Step 4: Simplify right side
    1,107.48x = 980,660.62
  5. Step 5: Solve for x
    x = 980,660.62/1,107.48
  6. Step 6: Final answer
    x = 885.49

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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.