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Finding the Fourth Proportional to 1,322.40, 1,824.84 and 824.88

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Solution

The fourth proportional to 1,322.40, 1,824.84 and 824.88 is: 1,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.40 : 1,824.84 = 824.88 : x
  2. Step 2: Convert to fraction form
    1,322.40/1,824.84 = 824.88/x
  3. Step 3: Cross multiply
    1,322.40x = 1,824.84 × 824.88
  4. Step 4: Simplify right side
    1,322.40x = 1,505,274.02
  5. Step 5: Solve for x
    x = 1,505,274.02/1,322.40
  6. Step 6: Final answer
    x = 1,138.29

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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.