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Finding the Fourth Proportional to 1,250.25, 1,875.22 and 519.73

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Solution

The fourth proportional to 1,250.25, 1,875.22 and 519.73 is: 779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.25 : 1,875.22 = 519.73 : x
  2. Step 2: Convert to fraction form
    1,250.25/1,875.22 = 519.73/x
  3. Step 3: Cross multiply
    1,250.25x = 1,875.22 × 519.73
  4. Step 4: Simplify right side
    1,250.25x = 974,602.10
  5. Step 5: Solve for x
    x = 974,602.10/1,250.25
  6. Step 6: Final answer
    x = 779.53

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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.