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Finding the Fourth Proportional to 1,249.93, 1,875.22 and 428.09

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Solution

The fourth proportional to 1,249.93, 1,875.22 and 428.09 is: 642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.93 : 1,875.22 = 428.09 : x
  2. Step 2: Convert to fraction form
    1,249.93/1,875.22 = 428.09/x
  3. Step 3: Cross multiply
    1,249.93x = 1,875.22 × 428.09
  4. Step 4: Simplify right side
    1,249.93x = 802,752.48
  5. Step 5: Solve for x
    x = 802,752.48/1,249.93
  6. Step 6: Final answer
    x = 642.24

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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.