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Finding the Fourth Proportional to 1,002.11, 1,504.17 and 929.21

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Solution

The fourth proportional to 1,002.11, 1,504.17 and 929.21 is: 1,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.11 : 1,504.17 = 929.21 : x
  2. Step 2: Convert to fraction form
    1,002.11/1,504.17 = 929.21/x
  3. Step 3: Cross multiply
    1,002.11x = 1,504.17 × 929.21
  4. Step 4: Simplify right side
    1,002.11x = 1,397,682.28
  5. Step 5: Solve for x
    x = 1,397,682.28/1,002.11
  6. Step 6: Final answer
    x = 1,394.75

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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.