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Finding the Fourth Proportional to 982.72, 1,473.84 and 435.04

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Solution

The fourth proportional to 982.72, 1,473.84 and 435.04 is: 652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.72 : 1,473.84 = 435.04 : x
  2. Step 2: Convert to fraction form
    982.72/1,473.84 = 435.04/x
  3. Step 3: Cross multiply
    982.72x = 1,473.84 × 435.04
  4. Step 4: Simplify right side
    982.72x = 641,179.35
  5. Step 5: Solve for x
    x = 641,179.35/982.72
  6. Step 6: Final answer
    x = 652.45

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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.