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Finding the Fourth Proportional to 885.74, 1,323.44 and 778.82

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Solution

The fourth proportional to 885.74, 1,323.44 and 778.82 is: 1,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.74 : 1,323.44 = 778.82 : x
  2. Step 2: Convert to fraction form
    885.74/1,323.44 = 778.82/x
  3. Step 3: Cross multiply
    885.74x = 1,323.44 × 778.82
  4. Step 4: Simplify right side
    885.74x = 1,030,713.95
  5. Step 5: Solve for x
    x = 1,030,713.95/885.74
  6. Step 6: Final answer
    x = 1,163.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.