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Finding the Fourth Proportional to 1,424.29, 1,965.54 and 794.88

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Solution

The fourth proportional to 1,424.29, 1,965.54 and 794.88 is: 1,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.29 : 1,965.54 = 794.88 : x
  2. Step 2: Convert to fraction form
    1,424.29/1,965.54 = 794.88/x
  3. Step 3: Cross multiply
    1,424.29x = 1,965.54 × 794.88
  4. Step 4: Simplify right side
    1,424.29x = 1,562,368.44
  5. Step 5: Solve for x
    x = 1,562,368.44/1,424.29
  6. Step 6: Final answer
    x = 1,096.95

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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.