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Finding the Fourth Proportional to 1,391.38, 1,920.12 and 770.38

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Solution

The fourth proportional to 1,391.38, 1,920.12 and 770.38 is: 1,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.38 : 1,920.12 = 770.38 : x
  2. Step 2: Convert to fraction form
    1,391.38/1,920.12 = 770.38/x
  3. Step 3: Cross multiply
    1,391.38x = 1,920.12 × 770.38
  4. Step 4: Simplify right side
    1,391.38x = 1,479,212.45
  5. Step 5: Solve for x
    x = 1,479,212.45/1,391.38
  6. Step 6: Final answer
    x = 1,063.13

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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.