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Finding the Fourth Proportional to 1,424.14, 1,965.20 and 826.52

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Solution

The fourth proportional to 1,424.14, 1,965.20 and 826.52 is: 1,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.14 : 1,965.20 = 826.52 : x
  2. Step 2: Convert to fraction form
    1,424.14/1,965.20 = 826.52/x
  3. Step 3: Cross multiply
    1,424.14x = 1,965.20 × 826.52
  4. Step 4: Simplify right side
    1,424.14x = 1,624,277.10
  5. Step 5: Solve for x
    x = 1,624,277.10/1,424.14
  6. Step 6: Final answer
    x = 1,140.53

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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.