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Finding the Fourth Proportional to 1,144.78, 1,580.03 and 647.44

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Solution

The fourth proportional to 1,144.78, 1,580.03 and 647.44 is: 893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.78 : 1,580.03 = 647.44 : x
  2. Step 2: Convert to fraction form
    1,144.78/1,580.03 = 647.44/x
  3. Step 3: Cross multiply
    1,144.78x = 1,580.03 × 647.44
  4. Step 4: Simplify right side
    1,144.78x = 1,022,974.62
  5. Step 5: Solve for x
    x = 1,022,974.62/1,144.78
  6. Step 6: Final answer
    x = 893.60

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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.