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Finding the Fourth Proportional to 1,250.38, 1,875.11 and 428.43

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Solution

The fourth proportional to 1,250.38, 1,875.11 and 428.43 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.38 : 1,875.11 = 428.43 : x
  2. Step 2: Convert to fraction form
    1,250.38/1,875.11 = 428.43/x
  3. Step 3: Cross multiply
    1,250.38x = 1,875.11 × 428.43
  4. Step 4: Simplify right side
    1,250.38x = 803,352.84
  5. Step 5: Solve for x
    x = 803,352.84/1,250.38
  6. Step 6: Final answer
    x = 642.49

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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.