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Finding the Fourth Proportional to 793.85, 1,095.89 and 597.42

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Solution

The fourth proportional to 793.85, 1,095.89 and 597.42 is: 824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,095.89 = 597.42 : x
  2. Step 2: Convert to fraction form
    793.85/1,095.89 = 597.42/x
  3. Step 3: Cross multiply
    793.85x = 1,095.89 × 597.42
  4. Step 4: Simplify right side
    793.85x = 654,703.62
  5. Step 5: Solve for x
    x = 654,703.62/793.85
  6. Step 6: Final answer
    x = 824.72

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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.