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Finding the Fourth Proportional to 1,410.75, 1,946.84 and 789.75

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Solution

The fourth proportional to 1,410.75, 1,946.84 and 789.75 is: 1,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.75 : 1,946.84 = 789.75 : x
  2. Step 2: Convert to fraction form
    1,410.75/1,946.84 = 789.75/x
  3. Step 3: Cross multiply
    1,410.75x = 1,946.84 × 789.75
  4. Step 4: Simplify right side
    1,410.75x = 1,537,512.94
  5. Step 5: Solve for x
    x = 1,537,512.94/1,410.75
  6. Step 6: Final answer
    x = 1,089.86

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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.