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Finding the Fourth Proportional to 1,383.21, 1,907.96 and 859.55

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Solution

The fourth proportional to 1,383.21, 1,907.96 and 859.55 is: 1,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.21 : 1,907.96 = 859.55 : x
  2. Step 2: Convert to fraction form
    1,383.21/1,907.96 = 859.55/x
  3. Step 3: Cross multiply
    1,383.21x = 1,907.96 × 859.55
  4. Step 4: Simplify right side
    1,383.21x = 1,639,973.18
  5. Step 5: Solve for x
    x = 1,639,973.18/1,383.21
  6. Step 6: Final answer
    x = 1,185.63

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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.