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Finding the Fourth Proportional to 934, 1,288.92 and 541.05

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Solution

The fourth proportional to 934, 1,288.92 and 541.05 is: 746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    934 : 1,288.92 = 541.05 : x
  2. Step 2: Convert to fraction form
    934/1,288.92 = 541.05/x
  3. Step 3: Cross multiply
    934x = 1,288.92 × 541.05
  4. Step 4: Simplify right side
    934x = 697,370.17
  5. Step 5: Solve for x
    x = 697,370.17/934
  6. Step 6: Final answer
    x = 746.65

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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.