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Finding the Fourth Proportional to 785.44, 1,083.76 and 523

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Solution

The fourth proportional to 785.44, 1,083.76 and 523 is: 721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.44 : 1,083.76 = 523 : x
  2. Step 2: Convert to fraction form
    785.44/1,083.76 = 523/x
  3. Step 3: Cross multiply
    785.44x = 1,083.76 × 523
  4. Step 4: Simplify right side
    785.44x = 566,806.48
  5. Step 5: Solve for x
    x = 566,806.48/785.44
  6. Step 6: Final answer
    x = 721.64

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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.