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Finding the Fourth Proportional to 1,144.36, 1,579.26 and 647.05

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Solution

The fourth proportional to 1,144.36, 1,579.26 and 647.05 is: 892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.36 : 1,579.26 = 647.05 : x
  2. Step 2: Convert to fraction form
    1,144.36/1,579.26 = 647.05/x
  3. Step 3: Cross multiply
    1,144.36x = 1,579.26 × 647.05
  4. Step 4: Simplify right side
    1,144.36x = 1,021,860.18
  5. Step 5: Solve for x
    x = 1,021,860.18/1,144.36
  6. Step 6: Final answer
    x = 892.95

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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.