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Finding the Fourth Proportional to 1,033.48, 1,426.17 and 567.73

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Solution

The fourth proportional to 1,033.48, 1,426.17 and 567.73 is: 783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.48 : 1,426.17 = 567.73 : x
  2. Step 2: Convert to fraction form
    1,033.48/1,426.17 = 567.73/x
  3. Step 3: Cross multiply
    1,033.48x = 1,426.17 × 567.73
  4. Step 4: Simplify right side
    1,033.48x = 809,679.49
  5. Step 5: Solve for x
    x = 809,679.49/1,033.48
  6. Step 6: Final answer
    x = 783.45

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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.