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Finding the Fourth Proportional to 722.96, 1,084.60 and 338

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Solution

The fourth proportional to 722.96, 1,084.60 and 338 is: 507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.96 : 1,084.60 = 338 : x
  2. Step 2: Convert to fraction form
    722.96/1,084.60 = 338/x
  3. Step 3: Cross multiply
    722.96x = 1,084.60 × 338
  4. Step 4: Simplify right side
    722.96x = 366,594.80
  5. Step 5: Solve for x
    x = 366,594.80/722.96
  6. Step 6: Final answer
    x = 507.07

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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.