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Finding the Fourth Proportional to 1,033.79, 1,426.72 and 568.13

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Solution

The fourth proportional to 1,033.79, 1,426.72 and 568.13 is: 784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.79 : 1,426.72 = 568.13 : x
  2. Step 2: Convert to fraction form
    1,033.79/1,426.72 = 568.13/x
  3. Step 3: Cross multiply
    1,033.79x = 1,426.72 × 568.13
  4. Step 4: Simplify right side
    1,033.79x = 810,553.88
  5. Step 5: Solve for x
    x = 810,553.88/1,033.79
  6. Step 6: Final answer
    x = 784.06

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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.