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Finding the Fourth Proportional to 1,382.21, 1,907.42 and 822.67

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Solution

The fourth proportional to 1,382.21, 1,907.42 and 822.67 is: 1,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.21 : 1,907.42 = 822.67 : x
  2. Step 2: Convert to fraction form
    1,382.21/1,907.42 = 822.67/x
  3. Step 3: Cross multiply
    1,382.21x = 1,907.42 × 822.67
  4. Step 4: Simplify right side
    1,382.21x = 1,569,174.50
  5. Step 5: Solve for x
    x = 1,569,174.50/1,382.21
  6. Step 6: Final answer
    x = 1,135.27

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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.