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Finding the Fourth Proportional to 816.24, 1,223.10 and 382.89

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Solution

The fourth proportional to 816.24, 1,223.10 and 382.89 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.24 : 1,223.10 = 382.89 : x
  2. Step 2: Convert to fraction form
    816.24/1,223.10 = 382.89/x
  3. Step 3: Cross multiply
    816.24x = 1,223.10 × 382.89
  4. Step 4: Simplify right side
    816.24x = 468,312.76
  5. Step 5: Solve for x
    x = 468,312.76/816.24
  6. Step 6: Final answer
    x = 573.74

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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.