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Finding the Fourth Proportional to 722.64, 1,084.05 and 283.80

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Solution

The fourth proportional to 722.64, 1,084.05 and 283.80 is: 425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 1,084.05 = 283.80 : x
  2. Step 2: Convert to fraction form
    722.64/1,084.05 = 283.80/x
  3. Step 3: Cross multiply
    722.64x = 1,084.05 × 283.80
  4. Step 4: Simplify right side
    722.64x = 307,653.39
  5. Step 5: Solve for x
    x = 307,653.39/722.64
  6. Step 6: Final answer
    x = 425.74

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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.