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Finding the Fourth Proportional to 982.32, 1,474.20 and 704.72

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Solution

The fourth proportional to 982.32, 1,474.20 and 704.72 is: 1,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.32 : 1,474.20 = 704.72 : x
  2. Step 2: Convert to fraction form
    982.32/1,474.20 = 704.72/x
  3. Step 3: Cross multiply
    982.32x = 1,474.20 × 704.72
  4. Step 4: Simplify right side
    982.32x = 1,038,898.22
  5. Step 5: Solve for x
    x = 1,038,898.22/982.32
  6. Step 6: Final answer
    x = 1,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.