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Finding the Fourth Proportional to 1,317.06, 1,974.95 and 769.42

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Solution

The fourth proportional to 1,317.06, 1,974.95 and 769.42 is: 1,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.06 : 1,974.95 = 769.42 : x
  2. Step 2: Convert to fraction form
    1,317.06/1,974.95 = 769.42/x
  3. Step 3: Cross multiply
    1,317.06x = 1,974.95 × 769.42
  4. Step 4: Simplify right side
    1,317.06x = 1,519,566.03
  5. Step 5: Solve for x
    x = 1,519,566.03/1,317.06
  6. Step 6: Final answer
    x = 1,153.76

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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.