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Finding the Fourth Proportional to 956.12, 1,434.60 and 408.65

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Solution

The fourth proportional to 956.12, 1,434.60 and 408.65 is: 613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.12 : 1,434.60 = 408.65 : x
  2. Step 2: Convert to fraction form
    956.12/1,434.60 = 408.65/x
  3. Step 3: Cross multiply
    956.12x = 1,434.60 × 408.65
  4. Step 4: Simplify right side
    956.12x = 586,242.12
  5. Step 5: Solve for x
    x = 586,242.12/956.12
  6. Step 6: Final answer
    x = 613.15

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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.