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Finding the Fourth Proportional to 812.74, 1,219.12 and 524.38

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Solution

The fourth proportional to 812.74, 1,219.12 and 524.38 is: 786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.74 : 1,219.12 = 524.38 : x
  2. Step 2: Convert to fraction form
    812.74/1,219.12 = 524.38/x
  3. Step 3: Cross multiply
    812.74x = 1,219.12 × 524.38
  4. Step 4: Simplify right side
    812.74x = 639,282.15
  5. Step 5: Solve for x
    x = 639,282.15/812.74
  6. Step 6: Final answer
    x = 786.58

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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.