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Finding the Fourth Proportional to 983.58, 1,475.46 and 406.50

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Solution

The fourth proportional to 983.58, 1,475.46 and 406.50 is: 609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.58 : 1,475.46 = 406.50 : x
  2. Step 2: Convert to fraction form
    983.58/1,475.46 = 406.50/x
  3. Step 3: Cross multiply
    983.58x = 1,475.46 × 406.50
  4. Step 4: Simplify right side
    983.58x = 599,774.49
  5. Step 5: Solve for x
    x = 599,774.49/983.58
  6. Step 6: Final answer
    x = 609.79

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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.