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Finding the Fourth Proportional to 1,396.94, 1,927.49 and 829.67

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Solution

The fourth proportional to 1,396.94, 1,927.49 and 829.67 is: 1,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.94 : 1,927.49 = 829.67 : x
  2. Step 2: Convert to fraction form
    1,396.94/1,927.49 = 829.67/x
  3. Step 3: Cross multiply
    1,396.94x = 1,927.49 × 829.67
  4. Step 4: Simplify right side
    1,396.94x = 1,599,180.63
  5. Step 5: Solve for x
    x = 1,599,180.63/1,396.94
  6. Step 6: Final answer
    x = 1,144.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.