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Finding the Fourth Proportional to 1,376.63, 2,061.43 and 759.65

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Solution

The fourth proportional to 1,376.63, 2,061.43 and 759.65 is: 1,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.63 : 2,061.43 = 759.65 : x
  2. Step 2: Convert to fraction form
    1,376.63/2,061.43 = 759.65/x
  3. Step 3: Cross multiply
    1,376.63x = 2,061.43 × 759.65
  4. Step 4: Simplify right side
    1,376.63x = 1,565,968.55
  5. Step 5: Solve for x
    x = 1,565,968.55/1,376.63
  6. Step 6: Final answer
    x = 1,137.54

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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.