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Finding the Fourth Proportional to 1,230.53, 1,697.64 and 788.27

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Solution

The fourth proportional to 1,230.53, 1,697.64 and 788.27 is: 1,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.53 : 1,697.64 = 788.27 : x
  2. Step 2: Convert to fraction form
    1,230.53/1,697.64 = 788.27/x
  3. Step 3: Cross multiply
    1,230.53x = 1,697.64 × 788.27
  4. Step 4: Simplify right side
    1,230.53x = 1,338,198.68
  5. Step 5: Solve for x
    x = 1,338,198.68/1,230.53
  6. Step 6: Final answer
    x = 1,087.50

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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.