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Finding the Fourth Proportional to 1,369.47, 2,054.17 and 382.28

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Solution

The fourth proportional to 1,369.47, 2,054.17 and 382.28 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.47 : 2,054.17 = 382.28 : x
  2. Step 2: Convert to fraction form
    1,369.47/2,054.17 = 382.28/x
  3. Step 3: Cross multiply
    1,369.47x = 2,054.17 × 382.28
  4. Step 4: Simplify right side
    1,369.47x = 785,268.11
  5. Step 5: Solve for x
    x = 785,268.11/1,369.47
  6. Step 6: Final answer
    x = 573.41

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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.