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Finding the Fourth Proportional to 885.54, 1,324.42 and 788.74

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Solution

The fourth proportional to 885.54, 1,324.42 and 788.74 is: 1,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.54 : 1,324.42 = 788.74 : x
  2. Step 2: Convert to fraction form
    885.54/1,324.42 = 788.74/x
  3. Step 3: Cross multiply
    885.54x = 1,324.42 × 788.74
  4. Step 4: Simplify right side
    885.54x = 1,044,623.03
  5. Step 5: Solve for x
    x = 1,044,623.03/885.54
  6. Step 6: Final answer
    x = 1,179.65

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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.