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Finding the Fourth Proportional to 1,188.31, 1,782.94 and 494.81

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Solution

The fourth proportional to 1,188.31, 1,782.94 and 494.81 is: 742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.31 : 1,782.94 = 494.81 : x
  2. Step 2: Convert to fraction form
    1,188.31/1,782.94 = 494.81/x
  3. Step 3: Cross multiply
    1,188.31x = 1,782.94 × 494.81
  4. Step 4: Simplify right side
    1,188.31x = 882,216.54
  5. Step 5: Solve for x
    x = 882,216.54/1,188.31
  6. Step 6: Final answer
    x = 742.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.