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Finding the Fourth Proportional to 786.28, 1,180.32 and 494.16

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Solution

The fourth proportional to 786.28, 1,180.32 and 494.16 is: 741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.28 : 1,180.32 = 494.16 : x
  2. Step 2: Convert to fraction form
    786.28/1,180.32 = 494.16/x
  3. Step 3: Cross multiply
    786.28x = 1,180.32 × 494.16
  4. Step 4: Simplify right side
    786.28x = 583,266.93
  5. Step 5: Solve for x
    x = 583,266.93/786.28
  6. Step 6: Final answer
    x = 741.81

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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.