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Finding the Fourth Proportional to 1,113.06, 1,535.96 and 640.88

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Solution

The fourth proportional to 1,113.06, 1,535.96 and 640.88 is: 884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.06 : 1,535.96 = 640.88 : x
  2. Step 2: Convert to fraction form
    1,113.06/1,535.96 = 640.88/x
  3. Step 3: Cross multiply
    1,113.06x = 1,535.96 × 640.88
  4. Step 4: Simplify right side
    1,113.06x = 984,359.97
  5. Step 5: Solve for x
    x = 984,359.97/1,113.06
  6. Step 6: Final answer
    x = 884.37

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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.