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Finding the Fourth Proportional to 1,368.94, 2,054.22 and 547.09

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Solution

The fourth proportional to 1,368.94, 2,054.22 and 547.09 is: 820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.94 : 2,054.22 = 547.09 : x
  2. Step 2: Convert to fraction form
    1,368.94/2,054.22 = 547.09/x
  3. Step 3: Cross multiply
    1,368.94x = 2,054.22 × 547.09
  4. Step 4: Simplify right side
    1,368.94x = 1,123,832.95
  5. Step 5: Solve for x
    x = 1,123,832.95/1,368.94
  6. Step 6: Final answer
    x = 820.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.