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Finding the Fourth Proportional to 1,033.94, 1,426.71 and 614.30

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Solution

The fourth proportional to 1,033.94, 1,426.71 and 614.30 is: 847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.94 : 1,426.71 = 614.30 : x
  2. Step 2: Convert to fraction form
    1,033.94/1,426.71 = 614.30/x
  3. Step 3: Cross multiply
    1,033.94x = 1,426.71 × 614.30
  4. Step 4: Simplify right side
    1,033.94x = 876,427.95
  5. Step 5: Solve for x
    x = 876,427.95/1,033.94
  6. Step 6: Final answer
    x = 847.66

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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.