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Finding the Fourth Proportional to 934.14, 1,289.10 and 541.20

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Solution

The fourth proportional to 934.14, 1,289.10 and 541.20 is: 746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.14 : 1,289.10 = 541.20 : x
  2. Step 2: Convert to fraction form
    934.14/1,289.10 = 541.20/x
  3. Step 3: Cross multiply
    934.14x = 1,289.10 × 541.20
  4. Step 4: Simplify right side
    934.14x = 697,660.92
  5. Step 5: Solve for x
    x = 697,660.92/934.14
  6. Step 6: Final answer
    x = 746.85

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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.