Home / 1,022.42-1,410.97-556.70

Finding the Fourth Proportional to 1,022.42, 1,410.97 and 556.70

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Solution

The fourth proportional to 1,022.42, 1,410.97 and 556.70 is: 768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.42 : 1,410.97 = 556.70 : x
  2. Step 2: Convert to fraction form
    1,022.42/1,410.97 = 556.70/x
  3. Step 3: Cross multiply
    1,022.42x = 1,410.97 × 556.70
  4. Step 4: Simplify right side
    1,022.42x = 785,487.00
  5. Step 5: Solve for x
    x = 785,487.00/1,022.42
  6. Step 6: Final answer
    x = 768.26

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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.