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Finding the Fourth Proportional to 764.22, 1,054.23 and 483.98

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Solution

The fourth proportional to 764.22, 1,054.23 and 483.98 is: 667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.22 : 1,054.23 = 483.98 : x
  2. Step 2: Convert to fraction form
    764.22/1,054.23 = 483.98/x
  3. Step 3: Cross multiply
    764.22x = 1,054.23 × 483.98
  4. Step 4: Simplify right side
    764.22x = 510,226.24
  5. Step 5: Solve for x
    x = 510,226.24/764.22
  6. Step 6: Final answer
    x = 667.64

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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.