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Finding the Fourth Proportional to 1,002.21, 1,503.61 and 308.98

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Solution

The fourth proportional to 1,002.21, 1,503.61 and 308.98 is: 463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.21 : 1,503.61 = 308.98 : x
  2. Step 2: Convert to fraction form
    1,002.21/1,503.61 = 308.98/x
  3. Step 3: Cross multiply
    1,002.21x = 1,503.61 × 308.98
  4. Step 4: Simplify right side
    1,002.21x = 464,585.42
  5. Step 5: Solve for x
    x = 464,585.42/1,002.21
  6. Step 6: Final answer
    x = 463.56

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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.