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Finding the Fourth Proportional to 1,786.49, 2,680.07 and 690.96

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Solution

The fourth proportional to 1,786.49, 2,680.07 and 690.96 is: 1,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.49 : 2,680.07 = 690.96 : x
  2. Step 2: Convert to fraction form
    1,786.49/2,680.07 = 690.96/x
  3. Step 3: Cross multiply
    1,786.49x = 2,680.07 × 690.96
  4. Step 4: Simplify right side
    1,786.49x = 1,851,821.17
  5. Step 5: Solve for x
    x = 1,851,821.17/1,786.49
  6. Step 6: Final answer
    x = 1,036.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.