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Finding the Fourth Proportional to 1,002.61, 1,504.03 and 353.19

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Solution

The fourth proportional to 1,002.61, 1,504.03 and 353.19 is: 529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.61 : 1,504.03 = 353.19 : x
  2. Step 2: Convert to fraction form
    1,002.61/1,504.03 = 353.19/x
  3. Step 3: Cross multiply
    1,002.61x = 1,504.03 × 353.19
  4. Step 4: Simplify right side
    1,002.61x = 531,208.36
  5. Step 5: Solve for x
    x = 531,208.36/1,002.61
  6. Step 6: Final answer
    x = 529.83

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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.