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Finding the Fourth Proportional to 983.98, 1,475.61 and 334.60

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Solution

The fourth proportional to 983.98, 1,475.61 and 334.60 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.98 : 1,475.61 = 334.60 : x
  2. Step 2: Convert to fraction form
    983.98/1,475.61 = 334.60/x
  3. Step 3: Cross multiply
    983.98x = 1,475.61 × 334.60
  4. Step 4: Simplify right side
    983.98x = 493,739.11
  5. Step 5: Solve for x
    x = 493,739.11/983.98
  6. Step 6: Final answer
    x = 501.78

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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.