Home / 1,022.35-1,410.86-556.60

Finding the Fourth Proportional to 1,022.35, 1,410.86 and 556.60

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Solution

The fourth proportional to 1,022.35, 1,410.86 and 556.60 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.35 : 1,410.86 = 556.60 : x
  2. Step 2: Convert to fraction form
    1,022.35/1,410.86 = 556.60/x
  3. Step 3: Cross multiply
    1,022.35x = 1,410.86 × 556.60
  4. Step 4: Simplify right side
    1,022.35x = 785,284.68
  5. Step 5: Solve for x
    x = 785,284.68/1,022.35
  6. Step 6: Final answer
    x = 768.12

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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.