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Finding the Fourth Proportional to 983.63, 1,475.64 and 406.50

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Solution

The fourth proportional to 983.63, 1,475.64 and 406.50 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.63 : 1,475.64 = 406.50 : x
  2. Step 2: Convert to fraction form
    983.63/1,475.64 = 406.50/x
  3. Step 3: Cross multiply
    983.63x = 1,475.64 × 406.50
  4. Step 4: Simplify right side
    983.63x = 599,847.66
  5. Step 5: Solve for x
    x = 599,847.66/983.63
  6. Step 6: Final answer
    x = 609.83

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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.