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Finding the Fourth Proportional to 842.42, 1,262.85 and 773.24

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Solution

The fourth proportional to 842.42, 1,262.85 and 773.24 is: 1,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.42 : 1,262.85 = 773.24 : x
  2. Step 2: Convert to fraction form
    842.42/1,262.85 = 773.24/x
  3. Step 3: Cross multiply
    842.42x = 1,262.85 × 773.24
  4. Step 4: Simplify right side
    842.42x = 976,479.82
  5. Step 5: Solve for x
    x = 976,479.82/842.42
  6. Step 6: Final answer
    x = 1,159.14

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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.