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Finding the Fourth Proportional to 795.80, 1,193.71 and 302.43

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Solution

The fourth proportional to 795.80, 1,193.71 and 302.43 is: 453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.80 : 1,193.71 = 302.43 : x
  2. Step 2: Convert to fraction form
    795.80/1,193.71 = 302.43/x
  3. Step 3: Cross multiply
    795.80x = 1,193.71 × 302.43
  4. Step 4: Simplify right side
    795.80x = 361,018.85
  5. Step 5: Solve for x
    x = 361,018.85/795.80
  6. Step 6: Final answer
    x = 453.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.