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Finding the Fourth Proportional to 1,315.37, 1,974.42 and 969.09

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Solution

The fourth proportional to 1,315.37, 1,974.42 and 969.09 is: 1,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.37 : 1,974.42 = 969.09 : x
  2. Step 2: Convert to fraction form
    1,315.37/1,974.42 = 969.09/x
  3. Step 3: Cross multiply
    1,315.37x = 1,974.42 × 969.09
  4. Step 4: Simplify right side
    1,315.37x = 1,913,390.68
  5. Step 5: Solve for x
    x = 1,913,390.68/1,315.37
  6. Step 6: Final answer
    x = 1,454.64

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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.