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Finding the Fourth Proportional to 793.72, 1,095.24 and 509.80

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Solution

The fourth proportional to 793.72, 1,095.24 and 509.80 is: 703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.72 : 1,095.24 = 509.80 : x
  2. Step 2: Convert to fraction form
    793.72/1,095.24 = 509.80/x
  3. Step 3: Cross multiply
    793.72x = 1,095.24 × 509.80
  4. Step 4: Simplify right side
    793.72x = 558,353.35
  5. Step 5: Solve for x
    x = 558,353.35/793.72
  6. Step 6: Final answer
    x = 703.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.