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Finding the Fourth Proportional to 818.02, 1,228.07 and 494.02

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Solution

The fourth proportional to 818.02, 1,228.07 and 494.02 is: 741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.02 : 1,228.07 = 494.02 : x
  2. Step 2: Convert to fraction form
    818.02/1,228.07 = 494.02/x
  3. Step 3: Cross multiply
    818.02x = 1,228.07 × 494.02
  4. Step 4: Simplify right side
    818.02x = 606,691.14
  5. Step 5: Solve for x
    x = 606,691.14/818.02
  6. Step 6: Final answer
    x = 741.66

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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.