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Finding the Fourth Proportional to 1,268.40, 1,902.74 and 527.93

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Solution

The fourth proportional to 1,268.40, 1,902.74 and 527.93 is: 791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.40 : 1,902.74 = 527.93 : x
  2. Step 2: Convert to fraction form
    1,268.40/1,902.74 = 527.93/x
  3. Step 3: Cross multiply
    1,268.40x = 1,902.74 × 527.93
  4. Step 4: Simplify right side
    1,268.40x = 1,004,513.53
  5. Step 5: Solve for x
    x = 1,004,513.53/1,268.40
  6. Step 6: Final answer
    x = 791.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.