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Finding the Fourth Proportional to 2,965.77, 4,448.25 and 774.66

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Solution

The fourth proportional to 2,965.77, 4,448.25 and 774.66 is: 1,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.77 : 4,448.25 = 774.66 : x
  2. Step 2: Convert to fraction form
    2,965.77/4,448.25 = 774.66/x
  3. Step 3: Cross multiply
    2,965.77x = 4,448.25 × 774.66
  4. Step 4: Simplify right side
    2,965.77x = 3,445,881.35
  5. Step 5: Solve for x
    x = 3,445,881.35/2,965.77
  6. Step 6: Final answer
    x = 1,161.88

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1.5x scale

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.