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Finding the Fourth Proportional to 1,033.54, 1,426.30 and 567.78

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Solution

The fourth proportional to 1,033.54, 1,426.30 and 567.78 is: 783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.54 : 1,426.30 = 567.78 : x
  2. Step 2: Convert to fraction form
    1,033.54/1,426.30 = 567.78/x
  3. Step 3: Cross multiply
    1,033.54x = 1,426.30 × 567.78
  4. Step 4: Simplify right side
    1,033.54x = 809,824.61
  5. Step 5: Solve for x
    x = 809,824.61/1,033.54
  6. Step 6: Final answer
    x = 783.54

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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.