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Finding the Fourth Proportional to 946.08, 1,418.28 and 452.18

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Solution

The fourth proportional to 946.08, 1,418.28 and 452.18 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.08 : 1,418.28 = 452.18 : x
  2. Step 2: Convert to fraction form
    946.08/1,418.28 = 452.18/x
  3. Step 3: Cross multiply
    946.08x = 1,418.28 × 452.18
  4. Step 4: Simplify right side
    946.08x = 641,317.85
  5. Step 5: Solve for x
    x = 641,317.85/946.08
  6. Step 6: Final answer
    x = 677.87

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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.