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Finding the Fourth Proportional to 1,738.26, 2,607.12 and 584.28

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Solution

The fourth proportional to 1,738.26, 2,607.12 and 584.28 is: 876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.26 : 2,607.12 = 584.28 : x
  2. Step 2: Convert to fraction form
    1,738.26/2,607.12 = 584.28/x
  3. Step 3: Cross multiply
    1,738.26x = 2,607.12 × 584.28
  4. Step 4: Simplify right side
    1,738.26x = 1,523,288.07
  5. Step 5: Solve for x
    x = 1,523,288.07/1,738.26
  6. Step 6: Final answer
    x = 876.33

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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.