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Finding the Fourth Proportional to 1,460.76, 2,015.90 and 797.67

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Solution

The fourth proportional to 1,460.76, 2,015.90 and 797.67 is: 1,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.76 : 2,015.90 = 797.67 : x
  2. Step 2: Convert to fraction form
    1,460.76/2,015.90 = 797.67/x
  3. Step 3: Cross multiply
    1,460.76x = 2,015.90 × 797.67
  4. Step 4: Simplify right side
    1,460.76x = 1,608,020.03
  5. Step 5: Solve for x
    x = 1,608,020.03/1,460.76
  6. Step 6: Final answer
    x = 1,100.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.