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Finding the Fourth Proportional to 1,003.14, 1,504.86 and 309.87

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Solution

The fourth proportional to 1,003.14, 1,504.86 and 309.87 is: 464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.14 : 1,504.86 = 309.87 : x
  2. Step 2: Convert to fraction form
    1,003.14/1,504.86 = 309.87/x
  3. Step 3: Cross multiply
    1,003.14x = 1,504.86 × 309.87
  4. Step 4: Simplify right side
    1,003.14x = 466,314.60
  5. Step 5: Solve for x
    x = 466,314.60/1,003.14
  6. Step 6: Final answer
    x = 464.85

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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.