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Finding the Fourth Proportional to 1,463.39, 2,192.77 and 537.67

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Solution

The fourth proportional to 1,463.39, 2,192.77 and 537.67 is: 805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.39 : 2,192.77 = 537.67 : x
  2. Step 2: Convert to fraction form
    1,463.39/2,192.77 = 537.67/x
  3. Step 3: Cross multiply
    1,463.39x = 2,192.77 × 537.67
  4. Step 4: Simplify right side
    1,463.39x = 1,178,986.65
  5. Step 5: Solve for x
    x = 1,178,986.65/1,463.39
  6. Step 6: Final answer
    x = 805.65

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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.