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Finding the Fourth Proportional to 793.81, 1,095.06 and 513.55

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Solution

The fourth proportional to 793.81, 1,095.06 and 513.55 is: 708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.81 : 1,095.06 = 513.55 : x
  2. Step 2: Convert to fraction form
    793.81/1,095.06 = 513.55/x
  3. Step 3: Cross multiply
    793.81x = 1,095.06 × 513.55
  4. Step 4: Simplify right side
    793.81x = 562,368.06
  5. Step 5: Solve for x
    x = 562,368.06/793.81
  6. Step 6: Final answer
    x = 708.44

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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.