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Finding the Fourth Proportional to 893.79, 1,234.21 and 562.78

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Solution

The fourth proportional to 893.79, 1,234.21 and 562.78 is: 777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.79 : 1,234.21 = 562.78 : x
  2. Step 2: Convert to fraction form
    893.79/1,234.21 = 562.78/x
  3. Step 3: Cross multiply
    893.79x = 1,234.21 × 562.78
  4. Step 4: Simplify right side
    893.79x = 694,588.70
  5. Step 5: Solve for x
    x = 694,588.70/893.79
  6. Step 6: Final answer
    x = 777.13

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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.