Home / 1,165.08-1,747.70-343.29

Finding the Fourth Proportional to 1,165.08, 1,747.70 and 343.29

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Solution

The fourth proportional to 1,165.08, 1,747.70 and 343.29 is: 514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.08 : 1,747.70 = 343.29 : x
  2. Step 2: Convert to fraction form
    1,165.08/1,747.70 = 343.29/x
  3. Step 3: Cross multiply
    1,165.08x = 1,747.70 × 343.29
  4. Step 4: Simplify right side
    1,165.08x = 599,967.93
  5. Step 5: Solve for x
    x = 599,967.93/1,165.08
  6. Step 6: Final answer
    x = 514.96

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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.