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Finding the Fourth Proportional to 1,251.50, 1,875.99 and 521.48

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Solution

The fourth proportional to 1,251.50, 1,875.99 and 521.48 is: 781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.50 : 1,875.99 = 521.48 : x
  2. Step 2: Convert to fraction form
    1,251.50/1,875.99 = 521.48/x
  3. Step 3: Cross multiply
    1,251.50x = 1,875.99 × 521.48
  4. Step 4: Simplify right side
    1,251.50x = 978,291.27
  5. Step 5: Solve for x
    x = 978,291.27/1,251.50
  6. Step 6: Final answer
    x = 781.69

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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.