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Finding the Fourth Proportional to 1,144.36, 1,579.24 and 647.02

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Solution

The fourth proportional to 1,144.36, 1,579.24 and 647.02 is: 892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.36 : 1,579.24 = 647.02 : x
  2. Step 2: Convert to fraction form
    1,144.36/1,579.24 = 647.02/x
  3. Step 3: Cross multiply
    1,144.36x = 1,579.24 × 647.02
  4. Step 4: Simplify right side
    1,144.36x = 1,021,799.86
  5. Step 5: Solve for x
    x = 1,021,799.86/1,144.36
  6. Step 6: Final answer
    x = 892.90

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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.