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Finding the Fourth Proportional to 1,315.87, 1,975.17 and 969.59

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Solution

The fourth proportional to 1,315.87, 1,975.17 and 969.59 is: 1,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.87 : 1,975.17 = 969.59 : x
  2. Step 2: Convert to fraction form
    1,315.87/1,975.17 = 969.59/x
  3. Step 3: Cross multiply
    1,315.87x = 1,975.17 × 969.59
  4. Step 4: Simplify right side
    1,315.87x = 1,915,105.08
  5. Step 5: Solve for x
    x = 1,915,105.08/1,315.87
  6. Step 6: Final answer
    x = 1,455.39

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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.