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Finding the Fourth Proportional to 1,738.19, 2,607.89 and 764.16

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Solution

The fourth proportional to 1,738.19, 2,607.89 and 764.16 is: 1,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.19 : 2,607.89 = 764.16 : x
  2. Step 2: Convert to fraction form
    1,738.19/2,607.89 = 764.16/x
  3. Step 3: Cross multiply
    1,738.19x = 2,607.89 × 764.16
  4. Step 4: Simplify right side
    1,738.19x = 1,992,845.22
  5. Step 5: Solve for x
    x = 1,992,845.22/1,738.19
  6. Step 6: Final answer
    x = 1,146.51

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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.