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Finding the Fourth Proportional to 1,424.14, 1,965.18 and 794.50

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Solution

The fourth proportional to 1,424.14, 1,965.18 and 794.50 is: 1,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.14 : 1,965.18 = 794.50 : x
  2. Step 2: Convert to fraction form
    1,424.14/1,965.18 = 794.50/x
  3. Step 3: Cross multiply
    1,424.14x = 1,965.18 × 794.50
  4. Step 4: Simplify right side
    1,424.14x = 1,561,335.51
  5. Step 5: Solve for x
    x = 1,561,335.51/1,424.14
  6. Step 6: Final answer
    x = 1,096.34

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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.