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Finding the Fourth Proportional to 1,144.58, 1,579.59 and 647.24

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Solution

The fourth proportional to 1,144.58, 1,579.59 and 647.24 is: 893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.58 : 1,579.59 = 647.24 : x
  2. Step 2: Convert to fraction form
    1,144.58/1,579.59 = 647.24/x
  3. Step 3: Cross multiply
    1,144.58x = 1,579.59 × 647.24
  4. Step 4: Simplify right side
    1,144.58x = 1,022,365.93
  5. Step 5: Solve for x
    x = 1,022,365.93/1,144.58
  6. Step 6: Final answer
    x = 893.23

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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.