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Finding the Fourth Proportional to 994.11, 1,371.90 and 546

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Solution

The fourth proportional to 994.11, 1,371.90 and 546 is: 753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.11 : 1,371.90 = 546 : x
  2. Step 2: Convert to fraction form
    994.11/1,371.90 = 546/x
  3. Step 3: Cross multiply
    994.11x = 1,371.90 × 546
  4. Step 4: Simplify right side
    994.11x = 749,057.40
  5. Step 5: Solve for x
    x = 749,057.40/994.11
  6. Step 6: Final answer
    x = 753.50

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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.