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Finding the Fourth Proportional to 1,003.16, 1,504.18 and 309.63

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Solution

The fourth proportional to 1,003.16, 1,504.18 and 309.63 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.16 : 1,504.18 = 309.63 : x
  2. Step 2: Convert to fraction form
    1,003.16/1,504.18 = 309.63/x
  3. Step 3: Cross multiply
    1,003.16x = 1,504.18 × 309.63
  4. Step 4: Simplify right side
    1,003.16x = 465,738.48
  5. Step 5: Solve for x
    x = 465,738.48/1,003.16
  6. Step 6: Final answer
    x = 464.27

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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.