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Finding the Fourth Proportional to 3,079.79, 4,619.73 and 771.29

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Solution

The fourth proportional to 3,079.79, 4,619.73 and 771.29 is: 1,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.79 : 4,619.73 = 771.29 : x
  2. Step 2: Convert to fraction form
    3,079.79/4,619.73 = 771.29/x
  3. Step 3: Cross multiply
    3,079.79x = 4,619.73 × 771.29
  4. Step 4: Simplify right side
    3,079.79x = 3,563,151.55
  5. Step 5: Solve for x
    x = 3,563,151.55/3,079.79
  6. Step 6: Final answer
    x = 1,156.95

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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.