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Finding the Fourth Proportional to 1,250.72, 1,875.99 and 519.77

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Solution

The fourth proportional to 1,250.72, 1,875.99 and 519.77 is: 779.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.72 : 1,875.99 = 519.77 : x
  2. Step 2: Convert to fraction form
    1,250.72/1,875.99 = 519.77/x
  3. Step 3: Cross multiply
    1,250.72x = 1,875.99 × 519.77
  4. Step 4: Simplify right side
    1,250.72x = 975,073.94
  5. Step 5: Solve for x
    x = 975,073.94/1,250.72
  6. Step 6: Final answer
    x = 779.61

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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.