Home / 1,319.24-1,820.66-821.90

Finding the Fourth Proportional to 1,319.24, 1,820.66 and 821.90

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Solution

The fourth proportional to 1,319.24, 1,820.66 and 821.90 is: 1,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.24 : 1,820.66 = 821.90 : x
  2. Step 2: Convert to fraction form
    1,319.24/1,820.66 = 821.90/x
  3. Step 3: Cross multiply
    1,319.24x = 1,820.66 × 821.90
  4. Step 4: Simplify right side
    1,319.24x = 1,496,400.90
  5. Step 5: Solve for x
    x = 1,496,400.90/1,319.24
  6. Step 6: Final answer
    x = 1,134.29

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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.