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Finding the Fourth Proportional to 1,002.66, 1,504.07 and 309.33

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Solution

The fourth proportional to 1,002.66, 1,504.07 and 309.33 is: 464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.66 : 1,504.07 = 309.33 : x
  2. Step 2: Convert to fraction form
    1,002.66/1,504.07 = 309.33/x
  3. Step 3: Cross multiply
    1,002.66x = 1,504.07 × 309.33
  4. Step 4: Simplify right side
    1,002.66x = 465,253.97
  5. Step 5: Solve for x
    x = 465,253.97/1,002.66
  6. Step 6: Final answer
    x = 464.02

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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.