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Finding the Fourth Proportional to 793.32, 1,094.40 and 513.60

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Solution

The fourth proportional to 793.32, 1,094.40 and 513.60 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.32 : 1,094.40 = 513.60 : x
  2. Step 2: Convert to fraction form
    793.32/1,094.40 = 513.60/x
  3. Step 3: Cross multiply
    793.32x = 1,094.40 × 513.60
  4. Step 4: Simplify right side
    793.32x = 562,083.84
  5. Step 5: Solve for x
    x = 562,083.84/793.32
  6. Step 6: Final answer
    x = 708.52

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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.