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Finding the Fourth Proportional to 1,412.41, 1,949.14 and 782.95

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Solution

The fourth proportional to 1,412.41, 1,949.14 and 782.95 is: 1,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.41 : 1,949.14 = 782.95 : x
  2. Step 2: Convert to fraction form
    1,412.41/1,949.14 = 782.95/x
  3. Step 3: Cross multiply
    1,412.41x = 1,949.14 × 782.95
  4. Step 4: Simplify right side
    1,412.41x = 1,526,076.73
  5. Step 5: Solve for x
    x = 1,526,076.73/1,412.41
  6. Step 6: Final answer
    x = 1,080.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.