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Finding the Fourth Proportional to 1,317.44, 1,975.54 and 769.78

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Solution

The fourth proportional to 1,317.44, 1,975.54 and 769.78 is: 1,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.44 : 1,975.54 = 769.78 : x
  2. Step 2: Convert to fraction form
    1,317.44/1,975.54 = 769.78/x
  3. Step 3: Cross multiply
    1,317.44x = 1,975.54 × 769.78
  4. Step 4: Simplify right side
    1,317.44x = 1,520,731.18
  5. Step 5: Solve for x
    x = 1,520,731.18/1,317.44
  6. Step 6: Final answer
    x = 1,154.31

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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.