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Finding the Fourth Proportional to 980.59, 1,469.67 and 433.03

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Solution

The fourth proportional to 980.59, 1,469.67 and 433.03 is: 649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.59 : 1,469.67 = 433.03 : x
  2. Step 2: Convert to fraction form
    980.59/1,469.67 = 433.03/x
  3. Step 3: Cross multiply
    980.59x = 1,469.67 × 433.03
  4. Step 4: Simplify right side
    980.59x = 636,411.20
  5. Step 5: Solve for x
    x = 636,411.20/980.59
  6. Step 6: Final answer
    x = 649.01

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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.