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Finding the Fourth Proportional to 785.72, 1,084.05 and 523.78

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Solution

The fourth proportional to 785.72, 1,084.05 and 523.78 is: 722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.72 : 1,084.05 = 523.78 : x
  2. Step 2: Convert to fraction form
    785.72/1,084.05 = 523.78/x
  3. Step 3: Cross multiply
    785.72x = 1,084.05 × 523.78
  4. Step 4: Simplify right side
    785.72x = 567,803.71
  5. Step 5: Solve for x
    x = 567,803.71/785.72
  6. Step 6: Final answer
    x = 722.65

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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.