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Finding the Fourth Proportional to 885.39, 1,324.83 and 778.47

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Solution

The fourth proportional to 885.39, 1,324.83 and 778.47 is: 1,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.39 : 1,324.83 = 778.47 : x
  2. Step 2: Convert to fraction form
    885.39/1,324.83 = 778.47/x
  3. Step 3: Cross multiply
    885.39x = 1,324.83 × 778.47
  4. Step 4: Simplify right side
    885.39x = 1,031,340.41
  5. Step 5: Solve for x
    x = 1,031,340.41/885.39
  6. Step 6: Final answer
    x = 1,164.84

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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.