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Finding the Fourth Proportional to 1,334.67, 2,002.17 and 410.10

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Solution

The fourth proportional to 1,334.67, 2,002.17 and 410.10 is: 615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.67 : 2,002.17 = 410.10 : x
  2. Step 2: Convert to fraction form
    1,334.67/2,002.17 = 410.10/x
  3. Step 3: Cross multiply
    1,334.67x = 2,002.17 × 410.10
  4. Step 4: Simplify right side
    1,334.67x = 821,089.92
  5. Step 5: Solve for x
    x = 821,089.92/1,334.67
  6. Step 6: Final answer
    x = 615.20

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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.