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Finding the Fourth Proportional to 1,322.28, 1,823.31 and 824.74

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Solution

The fourth proportional to 1,322.28, 1,823.31 and 824.74 is: 1,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.28 : 1,823.31 = 824.74 : x
  2. Step 2: Convert to fraction form
    1,322.28/1,823.31 = 824.74/x
  3. Step 3: Cross multiply
    1,322.28x = 1,823.31 × 824.74
  4. Step 4: Simplify right side
    1,322.28x = 1,503,756.69
  5. Step 5: Solve for x
    x = 1,503,756.69/1,322.28
  6. Step 6: Final answer
    x = 1,137.25

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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.