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Finding the Fourth Proportional to 1,241.40, 1,860.36 and 510.78

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Solution

The fourth proportional to 1,241.40, 1,860.36 and 510.78 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.40 : 1,860.36 = 510.78 : x
  2. Step 2: Convert to fraction form
    1,241.40/1,860.36 = 510.78/x
  3. Step 3: Cross multiply
    1,241.40x = 1,860.36 × 510.78
  4. Step 4: Simplify right side
    1,241.40x = 950,234.68
  5. Step 5: Solve for x
    x = 950,234.68/1,241.40
  6. Step 6: Final answer
    x = 765.45

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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.