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Finding the Fourth Proportional to 1,452.53, 2,004.58 and 822.81

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Solution

The fourth proportional to 1,452.53, 2,004.58 and 822.81 is: 1,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.53 : 2,004.58 = 822.81 : x
  2. Step 2: Convert to fraction form
    1,452.53/2,004.58 = 822.81/x
  3. Step 3: Cross multiply
    1,452.53x = 2,004.58 × 822.81
  4. Step 4: Simplify right side
    1,452.53x = 1,649,392.39
  5. Step 5: Solve for x
    x = 1,649,392.39/1,452.53
  6. Step 6: Final answer
    x = 1,135.53

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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.