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Finding the Fourth Proportional to 1,033.96, 1,426.84 and 568.20

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Solution

The fourth proportional to 1,033.96, 1,426.84 and 568.20 is: 784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.96 : 1,426.84 = 568.20 : x
  2. Step 2: Convert to fraction form
    1,033.96/1,426.84 = 568.20/x
  3. Step 3: Cross multiply
    1,033.96x = 1,426.84 × 568.20
  4. Step 4: Simplify right side
    1,033.96x = 810,730.49
  5. Step 5: Solve for x
    x = 810,730.49/1,033.96
  6. Step 6: Final answer
    x = 784.10

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Why These Related Problems?

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