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Finding the Fourth Proportional to 793.02, 1,094.00 and 513.34

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Solution

The fourth proportional to 793.02, 1,094.00 and 513.34 is: 708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.02 : 1,094.00 = 513.34 : x
  2. Step 2: Convert to fraction form
    793.02/1,094.00 = 513.34/x
  3. Step 3: Cross multiply
    793.02x = 1,094.00 × 513.34
  4. Step 4: Simplify right side
    793.02x = 561,591.74
  5. Step 5: Solve for x
    x = 561,591.74/793.02
  6. Step 6: Final answer
    x = 708.17

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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.