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Finding the Fourth Proportional to 722.91, 1,084.47 and 414.71

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Solution

The fourth proportional to 722.91, 1,084.47 and 414.71 is: 622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.91 : 1,084.47 = 414.71 : x
  2. Step 2: Convert to fraction form
    722.91/1,084.47 = 414.71/x
  3. Step 3: Cross multiply
    722.91x = 1,084.47 × 414.71
  4. Step 4: Simplify right side
    722.91x = 449,740.55
  5. Step 5: Solve for x
    x = 449,740.55/722.91
  6. Step 6: Final answer
    x = 622.13

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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.