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Finding the Fourth Proportional to 803.98, 1,207.16 and 494.94

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Solution

The fourth proportional to 803.98, 1,207.16 and 494.94 is: 743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.98 : 1,207.16 = 494.94 : x
  2. Step 2: Convert to fraction form
    803.98/1,207.16 = 494.94/x
  3. Step 3: Cross multiply
    803.98x = 1,207.16 × 494.94
  4. Step 4: Simplify right side
    803.98x = 597,471.77
  5. Step 5: Solve for x
    x = 597,471.77/803.98
  6. Step 6: Final answer
    x = 743.14

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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.