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Finding the Fourth Proportional to 1,736.33, 2,604.62 and 640.77

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Solution

The fourth proportional to 1,736.33, 2,604.62 and 640.77 is: 961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.33 : 2,604.62 = 640.77 : x
  2. Step 2: Convert to fraction form
    1,736.33/2,604.62 = 640.77/x
  3. Step 3: Cross multiply
    1,736.33x = 2,604.62 × 640.77
  4. Step 4: Simplify right side
    1,736.33x = 1,668,959.15
  5. Step 5: Solve for x
    x = 1,668,959.15/1,736.33
  6. Step 6: Final answer
    x = 961.20

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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.