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Finding the Fourth Proportional to 764.64, 1,054.96 and 531.36

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Solution

The fourth proportional to 764.64, 1,054.96 and 531.36 is: 733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,054.96 = 531.36 : x
  2. Step 2: Convert to fraction form
    764.64/1,054.96 = 531.36/x
  3. Step 3: Cross multiply
    764.64x = 1,054.96 × 531.36
  4. Step 4: Simplify right side
    764.64x = 560,563.55
  5. Step 5: Solve for x
    x = 560,563.55/764.64
  6. Step 6: Final answer
    x = 733.11

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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.