Home / 1,022.70-1,411.31-556.95

Finding the Fourth Proportional to 1,022.70, 1,411.31 and 556.95

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Solution

The fourth proportional to 1,022.70, 1,411.31 and 556.95 is: 768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.70 : 1,411.31 = 556.95 : x
  2. Step 2: Convert to fraction form
    1,022.70/1,411.31 = 556.95/x
  3. Step 3: Cross multiply
    1,022.70x = 1,411.31 × 556.95
  4. Step 4: Simplify right side
    1,022.70x = 786,029.10
  5. Step 5: Solve for x
    x = 786,029.10/1,022.70
  6. Step 6: Final answer
    x = 768.58

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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.