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Finding the Fourth Proportional to 788.54, 1,187.12 and 721.58

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Solution

The fourth proportional to 788.54, 1,187.12 and 721.58 is: 1,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.54 : 1,187.12 = 721.58 : x
  2. Step 2: Convert to fraction form
    788.54/1,187.12 = 721.58/x
  3. Step 3: Cross multiply
    788.54x = 1,187.12 × 721.58
  4. Step 4: Simplify right side
    788.54x = 856,597.92
  5. Step 5: Solve for x
    x = 856,597.92/788.54
  6. Step 6: Final answer
    x = 1,086.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.