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Finding the Fourth Proportional to 788.01, 1,086.56 and 663.48

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Solution

The fourth proportional to 788.01, 1,086.56 and 663.48 is: 914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.01 : 1,086.56 = 663.48 : x
  2. Step 2: Convert to fraction form
    788.01/1,086.56 = 663.48/x
  3. Step 3: Cross multiply
    788.01x = 1,086.56 × 663.48
  4. Step 4: Simplify right side
    788.01x = 720,907.51
  5. Step 5: Solve for x
    x = 720,907.51/788.01
  6. Step 6: Final answer
    x = 914.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.