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Finding the Fourth Proportional to 2,976.29, 4,464.65 and 785

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Solution

The fourth proportional to 2,976.29, 4,464.65 and 785 is: 1,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.29 : 4,464.65 = 785 : x
  2. Step 2: Convert to fraction form
    2,976.29/4,464.65 = 785/x
  3. Step 3: Cross multiply
    2,976.29x = 4,464.65 × 785
  4. Step 4: Simplify right side
    2,976.29x = 3,504,750.25
  5. Step 5: Solve for x
    x = 3,504,750.25/2,976.29
  6. Step 6: Final answer
    x = 1,177.56

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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.