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Finding the Fourth Proportional to 1,464.73, 2,194.79 and 539.01

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Solution

The fourth proportional to 1,464.73, 2,194.79 and 539.01 is: 807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.73 : 2,194.79 = 539.01 : x
  2. Step 2: Convert to fraction form
    1,464.73/2,194.79 = 539.01/x
  3. Step 3: Cross multiply
    1,464.73x = 2,194.79 × 539.01
  4. Step 4: Simplify right side
    1,464.73x = 1,183,019.29
  5. Step 5: Solve for x
    x = 1,183,019.29/1,464.73
  6. Step 6: Final answer
    x = 807.67

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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.