Home / 1,314.22-1,813.66-724.80

Finding the Fourth Proportional to 1,314.22, 1,813.66 and 724.80

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Solution

The fourth proportional to 1,314.22, 1,813.66 and 724.80 is: 1,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.22 : 1,813.66 = 724.80 : x
  2. Step 2: Convert to fraction form
    1,314.22/1,813.66 = 724.80/x
  3. Step 3: Cross multiply
    1,314.22x = 1,813.66 × 724.80
  4. Step 4: Simplify right side
    1,314.22x = 1,314,540.77
  5. Step 5: Solve for x
    x = 1,314,540.77/1,314.22
  6. Step 6: Final answer
    x = 1,000.24

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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.