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Finding the Fourth Proportional to 564.06, 776.39 and 504.83

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Solution

The fourth proportional to 564.06, 776.39 and 504.83 is: 694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.06 : 776.39 = 504.83 : x
  2. Step 2: Convert to fraction form
    564.06/776.39 = 504.83/x
  3. Step 3: Cross multiply
    564.06x = 776.39 × 504.83
  4. Step 4: Simplify right side
    564.06x = 391,944.38
  5. Step 5: Solve for x
    x = 391,944.38/564.06
  6. Step 6: Final answer
    x = 694.86

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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.