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Finding the Fourth Proportional to 983.99, 1,475.61 and 325.67

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Solution

The fourth proportional to 983.99, 1,475.61 and 325.67 is: 488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.99 : 1,475.61 = 325.67 : x
  2. Step 2: Convert to fraction form
    983.99/1,475.61 = 325.67/x
  3. Step 3: Cross multiply
    983.99x = 1,475.61 × 325.67
  4. Step 4: Simplify right side
    983.99x = 480,560.06
  5. Step 5: Solve for x
    x = 480,560.06/983.99
  6. Step 6: Final answer
    x = 488.38

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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.