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Finding the Fourth Proportional to 793.85, 1,095.23 and 478.88

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Solution

The fourth proportional to 793.85, 1,095.23 and 478.88 is: 660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,095.23 = 478.88 : x
  2. Step 2: Convert to fraction form
    793.85/1,095.23 = 478.88/x
  3. Step 3: Cross multiply
    793.85x = 1,095.23 × 478.88
  4. Step 4: Simplify right side
    793.85x = 524,483.52
  5. Step 5: Solve for x
    x = 524,483.52/793.85
  6. Step 6: Final answer
    x = 660.68

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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.