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Finding the Fourth Proportional to 1,698.44, 2,546.47 and 748.15

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Solution

The fourth proportional to 1,698.44, 2,546.47 and 748.15 is: 1,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.44 : 2,546.47 = 748.15 : x
  2. Step 2: Convert to fraction form
    1,698.44/2,546.47 = 748.15/x
  3. Step 3: Cross multiply
    1,698.44x = 2,546.47 × 748.15
  4. Step 4: Simplify right side
    1,698.44x = 1,905,144.82
  5. Step 5: Solve for x
    x = 1,905,144.82/1,698.44
  6. Step 6: Final answer
    x = 1,121.70

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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.