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Finding the Fourth Proportional to 1,285.65, 1,929.07 and 408.29

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Solution

The fourth proportional to 1,285.65, 1,929.07 and 408.29 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.65 : 1,929.07 = 408.29 : x
  2. Step 2: Convert to fraction form
    1,285.65/1,929.07 = 408.29/x
  3. Step 3: Cross multiply
    1,285.65x = 1,929.07 × 408.29
  4. Step 4: Simplify right side
    1,285.65x = 787,619.99
  5. Step 5: Solve for x
    x = 787,619.99/1,285.65
  6. Step 6: Final answer
    x = 612.62

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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.