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Finding the Fourth Proportional to 956.83, 1,435.48 and 409.17

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Solution

The fourth proportional to 956.83, 1,435.48 and 409.17 is: 613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.83 : 1,435.48 = 409.17 : x
  2. Step 2: Convert to fraction form
    956.83/1,435.48 = 409.17/x
  3. Step 3: Cross multiply
    956.83x = 1,435.48 × 409.17
  4. Step 4: Simplify right side
    956.83x = 587,355.35
  5. Step 5: Solve for x
    x = 587,355.35/956.83
  6. Step 6: Final answer
    x = 613.86

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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.