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Finding the Fourth Proportional to 1,383.13, 1,907.82 and 859.13

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Solution

The fourth proportional to 1,383.13, 1,907.82 and 859.13 is: 1,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.13 : 1,907.82 = 859.13 : x
  2. Step 2: Convert to fraction form
    1,383.13/1,907.82 = 859.13/x
  3. Step 3: Cross multiply
    1,383.13x = 1,907.82 × 859.13
  4. Step 4: Simplify right side
    1,383.13x = 1,639,065.40
  5. Step 5: Solve for x
    x = 1,639,065.40/1,383.13
  6. Step 6: Final answer
    x = 1,185.04

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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.