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Finding the Fourth Proportional to 604.95, 903.97 and 507.75

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Solution

The fourth proportional to 604.95, 903.97 and 507.75 is: 758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.95 : 903.97 = 507.75 : x
  2. Step 2: Convert to fraction form
    604.95/903.97 = 507.75/x
  3. Step 3: Cross multiply
    604.95x = 903.97 × 507.75
  4. Step 4: Simplify right side
    604.95x = 458,990.77
  5. Step 5: Solve for x
    x = 458,990.77/604.95
  6. Step 6: Final answer
    x = 758.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.