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Finding the Fourth Proportional to 934.91, 1,400.34 and 609.29

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Solution

The fourth proportional to 934.91, 1,400.34 and 609.29 is: 912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.91 : 1,400.34 = 609.29 : x
  2. Step 2: Convert to fraction form
    934.91/1,400.34 = 609.29/x
  3. Step 3: Cross multiply
    934.91x = 1,400.34 × 609.29
  4. Step 4: Simplify right side
    934.91x = 853,213.16
  5. Step 5: Solve for x
    x = 853,213.16/934.91
  6. Step 6: Final answer
    x = 912.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.