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Finding the Fourth Proportional to 982.46, 1,472.83 and 397.10

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Solution

The fourth proportional to 982.46, 1,472.83 and 397.10 is: 595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.46 : 1,472.83 = 397.10 : x
  2. Step 2: Convert to fraction form
    982.46/1,472.83 = 397.10/x
  3. Step 3: Cross multiply
    982.46x = 1,472.83 × 397.10
  4. Step 4: Simplify right side
    982.46x = 584,860.79
  5. Step 5: Solve for x
    x = 584,860.79/982.46
  6. Step 6: Final answer
    x = 595.30

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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.