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Finding the Fourth Proportional to 1,112.77, 1,535.76 and 640.74

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Solution

The fourth proportional to 1,112.77, 1,535.76 and 640.74 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.77 : 1,535.76 = 640.74 : x
  2. Step 2: Convert to fraction form
    1,112.77/1,535.76 = 640.74/x
  3. Step 3: Cross multiply
    1,112.77x = 1,535.76 × 640.74
  4. Step 4: Simplify right side
    1,112.77x = 984,028.62
  5. Step 5: Solve for x
    x = 984,028.62/1,112.77
  6. Step 6: Final answer
    x = 884.30

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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.