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Finding the Fourth Proportional to 773.06, 1,066.83 and 462.50

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Solution

The fourth proportional to 773.06, 1,066.83 and 462.50 is: 638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.06 : 1,066.83 = 462.50 : x
  2. Step 2: Convert to fraction form
    773.06/1,066.83 = 462.50/x
  3. Step 3: Cross multiply
    773.06x = 1,066.83 × 462.50
  4. Step 4: Simplify right side
    773.06x = 493,408.88
  5. Step 5: Solve for x
    x = 493,408.88/773.06
  6. Step 6: Final answer
    x = 638.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.