Home / 1,010.24-1,392.36-982.16

Finding the Fourth Proportional to 1,010.24, 1,392.36 and 982.16

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Solution

The fourth proportional to 1,010.24, 1,392.36 and 982.16 is: 1,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.24 : 1,392.36 = 982.16 : x
  2. Step 2: Convert to fraction form
    1,010.24/1,392.36 = 982.16/x
  3. Step 3: Cross multiply
    1,010.24x = 1,392.36 × 982.16
  4. Step 4: Simplify right side
    1,010.24x = 1,367,520.30
  5. Step 5: Solve for x
    x = 1,367,520.30/1,010.24
  6. Step 6: Final answer
    x = 1,353.66

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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.