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Finding the Fourth Proportional to 982.50, 1,474.29 and 469.50

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Solution

The fourth proportional to 982.50, 1,474.29 and 469.50 is: 704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.50 : 1,474.29 = 469.50 : x
  2. Step 2: Convert to fraction form
    982.50/1,474.29 = 469.50/x
  3. Step 3: Cross multiply
    982.50x = 1,474.29 × 469.50
  4. Step 4: Simplify right side
    982.50x = 692,179.16
  5. Step 5: Solve for x
    x = 692,179.16/982.50
  6. Step 6: Final answer
    x = 704.51

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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.