Home / 1,022-1,525.34-1,010.96

Finding the Fourth Proportional to 1,022, 1,525.34 and 1,010.96

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Solution

The fourth proportional to 1,022, 1,525.34 and 1,010.96 is: 1,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022 : 1,525.34 = 1,010.96 : x
  2. Step 2: Convert to fraction form
    1,022/1,525.34 = 1,010.96/x
  3. Step 3: Cross multiply
    1,022x = 1,525.34 × 1,010.96
  4. Step 4: Simplify right side
    1,022x = 1,542,057.73
  5. Step 5: Solve for x
    x = 1,542,057.73/1,022
  6. Step 6: Final answer
    x = 1,508.86

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.