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Finding the Fourth Proportional to 1,251.01, 1,875.83 and 385.21

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Solution

The fourth proportional to 1,251.01, 1,875.83 and 385.21 is: 577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.01 : 1,875.83 = 385.21 : x
  2. Step 2: Convert to fraction form
    1,251.01/1,875.83 = 385.21/x
  3. Step 3: Cross multiply
    1,251.01x = 1,875.83 × 385.21
  4. Step 4: Simplify right side
    1,251.01x = 722,588.47
  5. Step 5: Solve for x
    x = 722,588.47/1,251.01
  6. Step 6: Final answer
    x = 577.60

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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.