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Finding the Fourth Proportional to 1,033.63, 1,426.52 and 614.08

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Solution

The fourth proportional to 1,033.63, 1,426.52 and 614.08 is: 847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.63 : 1,426.52 = 614.08 : x
  2. Step 2: Convert to fraction form
    1,033.63/1,426.52 = 614.08/x
  3. Step 3: Cross multiply
    1,033.63x = 1,426.52 × 614.08
  4. Step 4: Simplify right side
    1,033.63x = 876,000.72
  5. Step 5: Solve for x
    x = 876,000.72/1,033.63
  6. Step 6: Final answer
    x = 847.50

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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.