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Finding the Fourth Proportional to 946.76, 1,418.31 and 729.27

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Solution

The fourth proportional to 946.76, 1,418.31 and 729.27 is: 1,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.76 : 1,418.31 = 729.27 : x
  2. Step 2: Convert to fraction form
    946.76/1,418.31 = 729.27/x
  3. Step 3: Cross multiply
    946.76x = 1,418.31 × 729.27
  4. Step 4: Simplify right side
    946.76x = 1,034,330.93
  5. Step 5: Solve for x
    x = 1,034,330.93/946.76
  6. Step 6: Final answer
    x = 1,092.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.