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Finding the Fourth Proportional to 764.98, 1,146.96 and 533.12

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Solution

The fourth proportional to 764.98, 1,146.96 and 533.12 is: 799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.98 : 1,146.96 = 533.12 : x
  2. Step 2: Convert to fraction form
    764.98/1,146.96 = 533.12/x
  3. Step 3: Cross multiply
    764.98x = 1,146.96 × 533.12
  4. Step 4: Simplify right side
    764.98x = 611,461.58
  5. Step 5: Solve for x
    x = 611,461.58/764.98
  6. Step 6: Final answer
    x = 799.32

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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.