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Finding the Fourth Proportional to 1,078.65, 1,616.29 and 785.43

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Solution

The fourth proportional to 1,078.65, 1,616.29 and 785.43 is: 1,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.65 : 1,616.29 = 785.43 : x
  2. Step 2: Convert to fraction form
    1,078.65/1,616.29 = 785.43/x
  3. Step 3: Cross multiply
    1,078.65x = 1,616.29 × 785.43
  4. Step 4: Simplify right side
    1,078.65x = 1,269,480.69
  5. Step 5: Solve for x
    x = 1,269,480.69/1,078.65
  6. Step 6: Final answer
    x = 1,176.92

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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.