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Finding the Fourth Proportional to 1,021.32, 1,532.02 and 327.99

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Solution

The fourth proportional to 1,021.32, 1,532.02 and 327.99 is: 492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.32 : 1,532.02 = 327.99 : x
  2. Step 2: Convert to fraction form
    1,021.32/1,532.02 = 327.99/x
  3. Step 3: Cross multiply
    1,021.32x = 1,532.02 × 327.99
  4. Step 4: Simplify right side
    1,021.32x = 502,491.93
  5. Step 5: Solve for x
    x = 502,491.93/1,021.32
  6. Step 6: Final answer
    x = 492.00

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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.