Home / 1,424.20-1,965.54-900.28

Finding the Fourth Proportional to 1,424.20, 1,965.54 and 900.28

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Solution

The fourth proportional to 1,424.20, 1,965.54 and 900.28 is: 1,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.20 : 1,965.54 = 900.28 : x
  2. Step 2: Convert to fraction form
    1,424.20/1,965.54 = 900.28/x
  3. Step 3: Cross multiply
    1,424.20x = 1,965.54 × 900.28
  4. Step 4: Simplify right side
    1,424.20x = 1,769,536.35
  5. Step 5: Solve for x
    x = 1,769,536.35/1,424.20
  6. Step 6: Final answer
    x = 1,242.48

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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.