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Finding the Fourth Proportional to 1,391.78, 1,920.60 and 770.78

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Solution

The fourth proportional to 1,391.78, 1,920.60 and 770.78 is: 1,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.78 : 1,920.60 = 770.78 : x
  2. Step 2: Convert to fraction form
    1,391.78/1,920.60 = 770.78/x
  3. Step 3: Cross multiply
    1,391.78x = 1,920.60 × 770.78
  4. Step 4: Simplify right side
    1,391.78x = 1,480,360.07
  5. Step 5: Solve for x
    x = 1,480,360.07/1,391.78
  6. Step 6: Final answer
    x = 1,063.65

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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.