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Finding the Fourth Proportional to 1,004.92, 1,385.54 and 650.26

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Solution

The fourth proportional to 1,004.92, 1,385.54 and 650.26 is: 896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.92 : 1,385.54 = 650.26 : x
  2. Step 2: Convert to fraction form
    1,004.92/1,385.54 = 650.26/x
  3. Step 3: Cross multiply
    1,004.92x = 1,385.54 × 650.26
  4. Step 4: Simplify right side
    1,004.92x = 900,961.24
  5. Step 5: Solve for x
    x = 900,961.24/1,004.92
  6. Step 6: Final answer
    x = 896.55

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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.