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Finding the Fourth Proportional to 785.60, 1,084.41 and 523.63

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Solution

The fourth proportional to 785.60, 1,084.41 and 523.63 is: 722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.60 : 1,084.41 = 523.63 : x
  2. Step 2: Convert to fraction form
    785.60/1,084.41 = 523.63/x
  3. Step 3: Cross multiply
    785.60x = 1,084.41 × 523.63
  4. Step 4: Simplify right side
    785.60x = 567,821.57
  5. Step 5: Solve for x
    x = 567,821.57/785.60
  6. Step 6: Final answer
    x = 722.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.