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Finding the Fourth Proportional to 842.37, 1,260.47 and 495.87

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Solution

The fourth proportional to 842.37, 1,260.47 and 495.87 is: 741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.37 : 1,260.47 = 495.87 : x
  2. Step 2: Convert to fraction form
    842.37/1,260.47 = 495.87/x
  3. Step 3: Cross multiply
    842.37x = 1,260.47 × 495.87
  4. Step 4: Simplify right side
    842.37x = 625,025.77
  5. Step 5: Solve for x
    x = 625,025.77/842.37
  6. Step 6: Final answer
    x = 741.99

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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.