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Finding the Fourth Proportional to 1,736.79, 2,605.06 and 641.06

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Solution

The fourth proportional to 1,736.79, 2,605.06 and 641.06 is: 961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.79 : 2,605.06 = 641.06 : x
  2. Step 2: Convert to fraction form
    1,736.79/2,605.06 = 641.06/x
  3. Step 3: Cross multiply
    1,736.79x = 2,605.06 × 641.06
  4. Step 4: Simplify right side
    1,736.79x = 1,669,999.76
  5. Step 5: Solve for x
    x = 1,669,999.76/1,736.79
  6. Step 6: Final answer
    x = 961.54

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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.