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Finding the Fourth Proportional to 1,407.75, 1,942.66 and 778.30

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Solution

The fourth proportional to 1,407.75, 1,942.66 and 778.30 is: 1,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.75 : 1,942.66 = 778.30 : x
  2. Step 2: Convert to fraction form
    1,407.75/1,942.66 = 778.30/x
  3. Step 3: Cross multiply
    1,407.75x = 1,942.66 × 778.30
  4. Step 4: Simplify right side
    1,407.75x = 1,511,979.05
  5. Step 5: Solve for x
    x = 1,511,979.05/1,407.75
  6. Step 6: Final answer
    x = 1,074.04

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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.