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Finding the Fourth Proportional to 885.19, 1,327.79 and 788.14

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Solution

The fourth proportional to 885.19, 1,327.79 and 788.14 is: 1,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.19 : 1,327.79 = 788.14 : x
  2. Step 2: Convert to fraction form
    885.19/1,327.79 = 788.14/x
  3. Step 3: Cross multiply
    885.19x = 1,327.79 × 788.14
  4. Step 4: Simplify right side
    885.19x = 1,046,473.83
  5. Step 5: Solve for x
    x = 1,046,473.83/885.19
  6. Step 6: Final answer
    x = 1,182.21

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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.