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Finding the Fourth Proportional to 793.87, 1,095.54 and 462.52

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Solution

The fourth proportional to 793.87, 1,095.54 and 462.52 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.87 : 1,095.54 = 462.52 : x
  2. Step 2: Convert to fraction form
    793.87/1,095.54 = 462.52/x
  3. Step 3: Cross multiply
    793.87x = 1,095.54 × 462.52
  4. Step 4: Simplify right side
    793.87x = 506,715.00
  5. Step 5: Solve for x
    x = 506,715.00/793.87
  6. Step 6: Final answer
    x = 638.28

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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.