Home / 1,206.13-1,810.05-513.28

Finding the Fourth Proportional to 1,206.13, 1,810.05 and 513.28

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Solution

The fourth proportional to 1,206.13, 1,810.05 and 513.28 is: 770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.13 : 1,810.05 = 513.28 : x
  2. Step 2: Convert to fraction form
    1,206.13/1,810.05 = 513.28/x
  3. Step 3: Cross multiply
    1,206.13x = 1,810.05 × 513.28
  4. Step 4: Simplify right side
    1,206.13x = 929,066.97
  5. Step 5: Solve for x
    x = 929,066.97/1,206.13
  6. Step 6: Final answer
    x = 770.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.