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Finding the Fourth Proportional to 859.79, 1,288.47 and 494.68

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Solution

The fourth proportional to 859.79, 1,288.47 and 494.68 is: 741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.79 : 1,288.47 = 494.68 : x
  2. Step 2: Convert to fraction form
    859.79/1,288.47 = 494.68/x
  3. Step 3: Cross multiply
    859.79x = 1,288.47 × 494.68
  4. Step 4: Simplify right side
    859.79x = 637,380.34
  5. Step 5: Solve for x
    x = 637,380.34/859.79
  6. Step 6: Final answer
    x = 741.32

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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.