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Finding the Fourth Proportional to 1,303.29, 1,954.94 and 533.25

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Solution

The fourth proportional to 1,303.29, 1,954.94 and 533.25 is: 799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.29 : 1,954.94 = 533.25 : x
  2. Step 2: Convert to fraction form
    1,303.29/1,954.94 = 533.25/x
  3. Step 3: Cross multiply
    1,303.29x = 1,954.94 × 533.25
  4. Step 4: Simplify right side
    1,303.29x = 1,042,469.09
  5. Step 5: Solve for x
    x = 1,042,469.09/1,303.29
  6. Step 6: Final answer
    x = 799.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.