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Finding the Fourth Proportional to 1,004.22, 1,504.71 and 593.73

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Solution

The fourth proportional to 1,004.22, 1,504.71 and 593.73 is: 889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.22 : 1,504.71 = 593.73 : x
  2. Step 2: Convert to fraction form
    1,004.22/1,504.71 = 593.73/x
  3. Step 3: Cross multiply
    1,004.22x = 1,504.71 × 593.73
  4. Step 4: Simplify right side
    1,004.22x = 893,391.47
  5. Step 5: Solve for x
    x = 893,391.47/1,004.22
  6. Step 6: Final answer
    x = 889.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.