Home / 1,186.13-1,779.53-406.30

Finding the Fourth Proportional to 1,186.13, 1,779.53 and 406.30

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Solution

The fourth proportional to 1,186.13, 1,779.53 and 406.30 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.13 : 1,779.53 = 406.30 : x
  2. Step 2: Convert to fraction form
    1,186.13/1,779.53 = 406.30/x
  3. Step 3: Cross multiply
    1,186.13x = 1,779.53 × 406.30
  4. Step 4: Simplify right side
    1,186.13x = 723,023.04
  5. Step 5: Solve for x
    x = 723,023.04/1,186.13
  6. Step 6: Final answer
    x = 609.56

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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.