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Finding the Fourth Proportional to 1,144.67, 1,579.53 and 640.47

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Solution

The fourth proportional to 1,144.67, 1,579.53 and 640.47 is: 883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.67 : 1,579.53 = 640.47 : x
  2. Step 2: Convert to fraction form
    1,144.67/1,579.53 = 640.47/x
  3. Step 3: Cross multiply
    1,144.67x = 1,579.53 × 640.47
  4. Step 4: Simplify right side
    1,144.67x = 1,011,649.90
  5. Step 5: Solve for x
    x = 1,011,649.90/1,144.67
  6. Step 6: Final answer
    x = 883.80

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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.