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Finding the Fourth Proportional to 1,078.65, 1,617.93 and 309.15

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Solution

The fourth proportional to 1,078.65, 1,617.93 and 309.15 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.65 : 1,617.93 = 309.15 : x
  2. Step 2: Convert to fraction form
    1,078.65/1,617.93 = 309.15/x
  3. Step 3: Cross multiply
    1,078.65x = 1,617.93 × 309.15
  4. Step 4: Simplify right side
    1,078.65x = 500,183.06
  5. Step 5: Solve for x
    x = 500,183.06/1,078.65
  6. Step 6: Final answer
    x = 463.71

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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.