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Finding the Fourth Proportional to 983.72, 1,474.89 and 435.61

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Solution

The fourth proportional to 983.72, 1,474.89 and 435.61 is: 653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.72 : 1,474.89 = 435.61 : x
  2. Step 2: Convert to fraction form
    983.72/1,474.89 = 435.61/x
  3. Step 3: Cross multiply
    983.72x = 1,474.89 × 435.61
  4. Step 4: Simplify right side
    983.72x = 642,474.78
  5. Step 5: Solve for x
    x = 642,474.78/983.72
  6. Step 6: Final answer
    x = 653.11

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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.