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Finding the Fourth Proportional to 814.42, 1,124.39 and 627.54

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Solution

The fourth proportional to 814.42, 1,124.39 and 627.54 is: 866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.42 : 1,124.39 = 627.54 : x
  2. Step 2: Convert to fraction form
    814.42/1,124.39 = 627.54/x
  3. Step 3: Cross multiply
    814.42x = 1,124.39 × 627.54
  4. Step 4: Simplify right side
    814.42x = 705,599.70
  5. Step 5: Solve for x
    x = 705,599.70/814.42
  6. Step 6: Final answer
    x = 866.38

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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.