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Finding the Fourth Proportional to 934.39, 1,289.42 and 541.33

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Solution

The fourth proportional to 934.39, 1,289.42 and 541.33 is: 747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.39 : 1,289.42 = 541.33 : x
  2. Step 2: Convert to fraction form
    934.39/1,289.42 = 541.33/x
  3. Step 3: Cross multiply
    934.39x = 1,289.42 × 541.33
  4. Step 4: Simplify right side
    934.39x = 698,005.08
  5. Step 5: Solve for x
    x = 698,005.08/934.39
  6. Step 6: Final answer
    x = 747.02

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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.