Home / 1,314.20-1,814.11-790.13

Finding the Fourth Proportional to 1,314.20, 1,814.11 and 790.13

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Solution

The fourth proportional to 1,314.20, 1,814.11 and 790.13 is: 1,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.20 : 1,814.11 = 790.13 : x
  2. Step 2: Convert to fraction form
    1,314.20/1,814.11 = 790.13/x
  3. Step 3: Cross multiply
    1,314.20x = 1,814.11 × 790.13
  4. Step 4: Simplify right side
    1,314.20x = 1,433,382.73
  5. Step 5: Solve for x
    x = 1,433,382.73/1,314.20
  6. Step 6: Final answer
    x = 1,090.69

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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.