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Finding the Fourth Proportional to 1,424.77, 1,965.04 and 982.57

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Solution

The fourth proportional to 1,424.77, 1,965.04 and 982.57 is: 1,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.77 : 1,965.04 = 982.57 : x
  2. Step 2: Convert to fraction form
    1,424.77/1,965.04 = 982.57/x
  3. Step 3: Cross multiply
    1,424.77x = 1,965.04 × 982.57
  4. Step 4: Simplify right side
    1,424.77x = 1,930,789.35
  5. Step 5: Solve for x
    x = 1,930,789.35/1,424.77
  6. Step 6: Final answer
    x = 1,355.16

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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.