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Finding the Fourth Proportional to 1,002.56, 1,503.94 and 353.14

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Solution

The fourth proportional to 1,002.56, 1,503.94 and 353.14 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.56 : 1,503.94 = 353.14 : x
  2. Step 2: Convert to fraction form
    1,002.56/1,503.94 = 353.14/x
  3. Step 3: Cross multiply
    1,002.56x = 1,503.94 × 353.14
  4. Step 4: Simplify right side
    1,002.56x = 531,101.37
  5. Step 5: Solve for x
    x = 531,101.37/1,002.56
  6. Step 6: Final answer
    x = 529.75

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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.