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Finding the Fourth Proportional to 867.15, 1,299.51 and 650.48

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Solution

The fourth proportional to 867.15, 1,299.51 and 650.48 is: 974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.15 : 1,299.51 = 650.48 : x
  2. Step 2: Convert to fraction form
    867.15/1,299.51 = 650.48/x
  3. Step 3: Cross multiply
    867.15x = 1,299.51 × 650.48
  4. Step 4: Simplify right side
    867.15x = 845,298.77
  5. Step 5: Solve for x
    x = 845,298.77/867.15
  6. Step 6: Final answer
    x = 974.80

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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.