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Finding the Fourth Proportional to 654.46, 982.14 and 435.04

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Solution

The fourth proportional to 654.46, 982.14 and 435.04 is: 652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.46 : 982.14 = 435.04 : x
  2. Step 2: Convert to fraction form
    654.46/982.14 = 435.04/x
  3. Step 3: Cross multiply
    654.46x = 982.14 × 435.04
  4. Step 4: Simplify right side
    654.46x = 427,270.19
  5. Step 5: Solve for x
    x = 427,270.19/654.46
  6. Step 6: Final answer
    x = 652.86

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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.