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Finding the Fourth Proportional to 602.70, 903.03 and 537.09

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Solution

The fourth proportional to 602.70, 903.03 and 537.09 is: 804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.70 : 903.03 = 537.09 : x
  2. Step 2: Convert to fraction form
    602.70/903.03 = 537.09/x
  3. Step 3: Cross multiply
    602.70x = 903.03 × 537.09
  4. Step 4: Simplify right side
    602.70x = 485,008.38
  5. Step 5: Solve for x
    x = 485,008.38/602.70
  6. Step 6: Final answer
    x = 804.73

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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.