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Finding the Fourth Proportional to 934.43, 1,400.99 and 414.14

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Solution

The fourth proportional to 934.43, 1,400.99 and 414.14 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.43 : 1,400.99 = 414.14 : x
  2. Step 2: Convert to fraction form
    934.43/1,400.99 = 414.14/x
  3. Step 3: Cross multiply
    934.43x = 1,400.99 × 414.14
  4. Step 4: Simplify right side
    934.43x = 580,210.54
  5. Step 5: Solve for x
    x = 580,210.54/934.43
  6. Step 6: Final answer
    x = 620.93

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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.