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Finding the Fourth Proportional to 793.03, 1,094.23 and 513.62

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Solution

The fourth proportional to 793.03, 1,094.23 and 513.62 is: 708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.03 : 1,094.23 = 513.62 : x
  2. Step 2: Convert to fraction form
    793.03/1,094.23 = 513.62/x
  3. Step 3: Cross multiply
    793.03x = 1,094.23 × 513.62
  4. Step 4: Simplify right side
    793.03x = 562,018.41
  5. Step 5: Solve for x
    x = 562,018.41/793.03
  6. Step 6: Final answer
    x = 708.70

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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.