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Finding the Fourth Proportional to 3,083.16, 4,624.74 and 774.66

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Solution

The fourth proportional to 3,083.16, 4,624.74 and 774.66 is: 1,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.16 : 4,624.74 = 774.66 : x
  2. Step 2: Convert to fraction form
    3,083.16/4,624.74 = 774.66/x
  3. Step 3: Cross multiply
    3,083.16x = 4,624.74 × 774.66
  4. Step 4: Simplify right side
    3,083.16x = 3,582,601.09
  5. Step 5: Solve for x
    x = 3,582,601.09/3,083.16
  6. Step 6: Final answer
    x = 1,161.99

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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.