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Finding the Fourth Proportional to 795.83, 1,193.77 and 302.18

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Solution

The fourth proportional to 795.83, 1,193.77 and 302.18 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.83 : 1,193.77 = 302.18 : x
  2. Step 2: Convert to fraction form
    795.83/1,193.77 = 302.18/x
  3. Step 3: Cross multiply
    795.83x = 1,193.77 × 302.18
  4. Step 4: Simplify right side
    795.83x = 360,733.42
  5. Step 5: Solve for x
    x = 360,733.42/795.83
  6. Step 6: Final answer
    x = 453.28

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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.