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Finding the Fourth Proportional to 1,033.41, 1,426.09 and 640.47

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Solution

The fourth proportional to 1,033.41, 1,426.09 and 640.47 is: 883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.41 : 1,426.09 = 640.47 : x
  2. Step 2: Convert to fraction form
    1,033.41/1,426.09 = 640.47/x
  3. Step 3: Cross multiply
    1,033.41x = 1,426.09 × 640.47
  4. Step 4: Simplify right side
    1,033.41x = 913,367.86
  5. Step 5: Solve for x
    x = 913,367.86/1,033.41
  6. Step 6: Final answer
    x = 883.84

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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.