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Finding the Fourth Proportional to 879.45, 1,319.82 and 648.96

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Solution

The fourth proportional to 879.45, 1,319.82 and 648.96 is: 973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.45 : 1,319.82 = 648.96 : x
  2. Step 2: Convert to fraction form
    879.45/1,319.82 = 648.96/x
  3. Step 3: Cross multiply
    879.45x = 1,319.82 × 648.96
  4. Step 4: Simplify right side
    879.45x = 856,507.14
  5. Step 5: Solve for x
    x = 856,507.14/879.45
  6. Step 6: Final answer
    x = 973.91

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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.