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Finding the Fourth Proportional to 523.56, 779.14 and 504.12

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Solution

The fourth proportional to 523.56, 779.14 and 504.12 is: 750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 779.14 = 504.12 : x
  2. Step 2: Convert to fraction form
    523.56/779.14 = 504.12/x
  3. Step 3: Cross multiply
    523.56x = 779.14 × 504.12
  4. Step 4: Simplify right side
    523.56x = 392,780.06
  5. Step 5: Solve for x
    x = 392,780.06/523.56
  6. Step 6: Final answer
    x = 750.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.