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Finding the Fourth Proportional to 1,249.83, 1,875.15 and 428.09

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Solution

The fourth proportional to 1,249.83, 1,875.15 and 428.09 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.83 : 1,875.15 = 428.09 : x
  2. Step 2: Convert to fraction form
    1,249.83/1,875.15 = 428.09/x
  3. Step 3: Cross multiply
    1,249.83x = 1,875.15 × 428.09
  4. Step 4: Simplify right side
    1,249.83x = 802,723.59
  5. Step 5: Solve for x
    x = 802,723.59/1,249.83
  6. Step 6: Final answer
    x = 642.27

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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.