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Finding the Fourth Proportional to 983.59, 1,475.59 and 325.43

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Solution

The fourth proportional to 983.59, 1,475.59 and 325.43 is: 488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.59 : 1,475.59 = 325.43 : x
  2. Step 2: Convert to fraction form
    983.59/1,475.59 = 325.43/x
  3. Step 3: Cross multiply
    983.59x = 1,475.59 × 325.43
  4. Step 4: Simplify right side
    983.59x = 480,201.25
  5. Step 5: Solve for x
    x = 480,201.25/983.59
  6. Step 6: Final answer
    x = 488.21

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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.