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Finding the Fourth Proportional to 1,164.38, 1,606.87 and 640.41

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Solution

The fourth proportional to 1,164.38, 1,606.87 and 640.41 is: 883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.38 : 1,606.87 = 640.41 : x
  2. Step 2: Convert to fraction form
    1,164.38/1,606.87 = 640.41/x
  3. Step 3: Cross multiply
    1,164.38x = 1,606.87 × 640.41
  4. Step 4: Simplify right side
    1,164.38x = 1,029,050.39
  5. Step 5: Solve for x
    x = 1,029,050.39/1,164.38
  6. Step 6: Final answer
    x = 883.78

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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.