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Finding the Fourth Proportional to 1,322.76, 1,825.38 and 798.84

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Solution

The fourth proportional to 1,322.76, 1,825.38 and 798.84 is: 1,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.76 : 1,825.38 = 798.84 : x
  2. Step 2: Convert to fraction form
    1,322.76/1,825.38 = 798.84/x
  3. Step 3: Cross multiply
    1,322.76x = 1,825.38 × 798.84
  4. Step 4: Simplify right side
    1,322.76x = 1,458,186.56
  5. Step 5: Solve for x
    x = 1,458,186.56/1,322.76
  6. Step 6: Final answer
    x = 1,102.38

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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.