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Finding the Fourth Proportional to 1,464.78, 2,198.07 and 771.95

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Solution

The fourth proportional to 1,464.78, 2,198.07 and 771.95 is: 1,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.78 : 2,198.07 = 771.95 : x
  2. Step 2: Convert to fraction form
    1,464.78/2,198.07 = 771.95/x
  3. Step 3: Cross multiply
    1,464.78x = 2,198.07 × 771.95
  4. Step 4: Simplify right side
    1,464.78x = 1,696,800.14
  5. Step 5: Solve for x
    x = 1,696,800.14/1,464.78
  6. Step 6: Final answer
    x = 1,158.40

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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.