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Finding the Fourth Proportional to 1,240.13, 1,860.02 and 418.29

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Solution

The fourth proportional to 1,240.13, 1,860.02 and 418.29 is: 627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.13 : 1,860.02 = 418.29 : x
  2. Step 2: Convert to fraction form
    1,240.13/1,860.02 = 418.29/x
  3. Step 3: Cross multiply
    1,240.13x = 1,860.02 × 418.29
  4. Step 4: Simplify right side
    1,240.13x = 778,029.55
  5. Step 5: Solve for x
    x = 778,029.55/1,240.13
  6. Step 6: Final answer
    x = 627.38

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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.