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Finding the Fourth Proportional to 983.64, 1,475.42 and 406.36

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Solution

The fourth proportional to 983.64, 1,475.42 and 406.36 is: 609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.64 : 1,475.42 = 406.36 : x
  2. Step 2: Convert to fraction form
    983.64/1,475.42 = 406.36/x
  3. Step 3: Cross multiply
    983.64x = 1,475.42 × 406.36
  4. Step 4: Simplify right side
    983.64x = 599,551.67
  5. Step 5: Solve for x
    x = 599,551.67/983.64
  6. Step 6: Final answer
    x = 609.52

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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.