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Finding the Fourth Proportional to 1,102.25, 1,653.78 and 582.23

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Solution

The fourth proportional to 1,102.25, 1,653.78 and 582.23 is: 873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.25 : 1,653.78 = 582.23 : x
  2. Step 2: Convert to fraction form
    1,102.25/1,653.78 = 582.23/x
  3. Step 3: Cross multiply
    1,102.25x = 1,653.78 × 582.23
  4. Step 4: Simplify right side
    1,102.25x = 962,880.33
  5. Step 5: Solve for x
    x = 962,880.33/1,102.25
  6. Step 6: Final answer
    x = 873.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.