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Finding the Fourth Proportional to 1,424.52, 2,137.09 and 450.70

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Solution

The fourth proportional to 1,424.52, 2,137.09 and 450.70 is: 676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.52 : 2,137.09 = 450.70 : x
  2. Step 2: Convert to fraction form
    1,424.52/2,137.09 = 450.70/x
  3. Step 3: Cross multiply
    1,424.52x = 2,137.09 × 450.70
  4. Step 4: Simplify right side
    1,424.52x = 963,184.21
  5. Step 5: Solve for x
    x = 963,184.21/1,424.52
  6. Step 6: Final answer
    x = 676.15

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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.