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Finding the Fourth Proportional to 842.77, 1,162.93 and 488.81

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Solution

The fourth proportional to 842.77, 1,162.93 and 488.81 is: 674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.77 : 1,162.93 = 488.81 : x
  2. Step 2: Convert to fraction form
    842.77/1,162.93 = 488.81/x
  3. Step 3: Cross multiply
    842.77x = 1,162.93 × 488.81
  4. Step 4: Simplify right side
    842.77x = 568,446.00
  5. Step 5: Solve for x
    x = 568,446.00/842.77
  6. Step 6: Final answer
    x = 674.50

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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.