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Finding the Fourth Proportional to 753.86, 1,130.82 and 343.05

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Solution

The fourth proportional to 753.86, 1,130.82 and 343.05 is: 514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.86 : 1,130.82 = 343.05 : x
  2. Step 2: Convert to fraction form
    753.86/1,130.82 = 343.05/x
  3. Step 3: Cross multiply
    753.86x = 1,130.82 × 343.05
  4. Step 4: Simplify right side
    753.86x = 387,927.80
  5. Step 5: Solve for x
    x = 387,927.80/753.86
  6. Step 6: Final answer
    x = 514.59

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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.