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Finding the Fourth Proportional to 824.21, 1,234.48 and 592.40

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Solution

The fourth proportional to 824.21, 1,234.48 and 592.40 is: 887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.21 : 1,234.48 = 592.40 : x
  2. Step 2: Convert to fraction form
    824.21/1,234.48 = 592.40/x
  3. Step 3: Cross multiply
    824.21x = 1,234.48 × 592.40
  4. Step 4: Simplify right side
    824.21x = 731,305.95
  5. Step 5: Solve for x
    x = 731,305.95/824.21
  6. Step 6: Final answer
    x = 887.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.