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Finding the Fourth Proportional to 1,144.37, 1,579.41 and 647.15

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Solution

The fourth proportional to 1,144.37, 1,579.41 and 647.15 is: 893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.37 : 1,579.41 = 647.15 : x
  2. Step 2: Convert to fraction form
    1,144.37/1,579.41 = 647.15/x
  3. Step 3: Cross multiply
    1,144.37x = 1,579.41 × 647.15
  4. Step 4: Simplify right side
    1,144.37x = 1,022,107.28
  5. Step 5: Solve for x
    x = 1,022,107.28/1,144.37
  6. Step 6: Final answer
    x = 893.17

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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.