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Finding the Fourth Proportional to 1,424.56, 2,137.14 and 558.88

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Solution

The fourth proportional to 1,424.56, 2,137.14 and 558.88 is: 838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.56 : 2,137.14 = 558.88 : x
  2. Step 2: Convert to fraction form
    1,424.56/2,137.14 = 558.88/x
  3. Step 3: Cross multiply
    1,424.56x = 2,137.14 × 558.88
  4. Step 4: Simplify right side
    1,424.56x = 1,194,404.80
  5. Step 5: Solve for x
    x = 1,194,404.80/1,424.56
  6. Step 6: Final answer
    x = 838.44

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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.