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Finding the Fourth Proportional to 816.19, 1,223.50 and 538.76

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Solution

The fourth proportional to 816.19, 1,223.50 and 538.76 is: 807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.19 : 1,223.50 = 538.76 : x
  2. Step 2: Convert to fraction form
    816.19/1,223.50 = 538.76/x
  3. Step 3: Cross multiply
    816.19x = 1,223.50 × 538.76
  4. Step 4: Simplify right side
    816.19x = 659,164.05
  5. Step 5: Solve for x
    x = 659,164.05/816.19
  6. Step 6: Final answer
    x = 807.61

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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.