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Finding the Fourth Proportional to 1,241.58, 1,863.10 and 511.02

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Solution

The fourth proportional to 1,241.58, 1,863.10 and 511.02 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.58 : 1,863.10 = 511.02 : x
  2. Step 2: Convert to fraction form
    1,241.58/1,863.10 = 511.02/x
  3. Step 3: Cross multiply
    1,241.58x = 1,863.10 × 511.02
  4. Step 4: Simplify right side
    1,241.58x = 952,081.36
  5. Step 5: Solve for x
    x = 952,081.36/1,241.58
  6. Step 6: Final answer
    x = 766.83

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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.