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Finding the Fourth Proportional to 934.09, 1,289.36 and 640.21

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Solution

The fourth proportional to 934.09, 1,289.36 and 640.21 is: 883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.09 : 1,289.36 = 640.21 : x
  2. Step 2: Convert to fraction form
    934.09/1,289.36 = 640.21/x
  3. Step 3: Cross multiply
    934.09x = 1,289.36 × 640.21
  4. Step 4: Simplify right side
    934.09x = 825,457.96
  5. Step 5: Solve for x
    x = 825,457.96/934.09
  6. Step 6: Final answer
    x = 883.70

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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.