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Finding the Fourth Proportional to 1,164.86, 1,747.64 and 343.16

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Solution

The fourth proportional to 1,164.86, 1,747.64 and 343.16 is: 514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.86 : 1,747.64 = 343.16 : x
  2. Step 2: Convert to fraction form
    1,164.86/1,747.64 = 343.16/x
  3. Step 3: Cross multiply
    1,164.86x = 1,747.64 × 343.16
  4. Step 4: Simplify right side
    1,164.86x = 599,720.14
  5. Step 5: Solve for x
    x = 599,720.14/1,164.86
  6. Step 6: Final answer
    x = 514.84

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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.