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Finding the Fourth Proportional to 1,286.79, 1,928.97 and 594.01

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Solution

The fourth proportional to 1,286.79, 1,928.97 and 594.01 is: 890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.79 : 1,928.97 = 594.01 : x
  2. Step 2: Convert to fraction form
    1,286.79/1,928.97 = 594.01/x
  3. Step 3: Cross multiply
    1,286.79x = 1,928.97 × 594.01
  4. Step 4: Simplify right side
    1,286.79x = 1,145,827.47
  5. Step 5: Solve for x
    x = 1,145,827.47/1,286.79
  6. Step 6: Final answer
    x = 890.45

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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.