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Finding the Fourth Proportional to 1,736.97, 2,604.91 and 582.45

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Solution

The fourth proportional to 1,736.97, 2,604.91 and 582.45 is: 873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.97 : 2,604.91 = 582.45 : x
  2. Step 2: Convert to fraction form
    1,736.97/2,604.91 = 582.45/x
  3. Step 3: Cross multiply
    1,736.97x = 2,604.91 × 582.45
  4. Step 4: Simplify right side
    1,736.97x = 1,517,218.60
  5. Step 5: Solve for x
    x = 1,517,218.60/1,736.97
  6. Step 6: Final answer
    x = 873.49

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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.