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Finding the Fourth Proportional to 1,123.26, 1,684.25 and 464.36

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Solution

The fourth proportional to 1,123.26, 1,684.25 and 464.36 is: 696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.26 : 1,684.25 = 464.36 : x
  2. Step 2: Convert to fraction form
    1,123.26/1,684.25 = 464.36/x
  3. Step 3: Cross multiply
    1,123.26x = 1,684.25 × 464.36
  4. Step 4: Simplify right side
    1,123.26x = 782,087.59
  5. Step 5: Solve for x
    x = 782,087.59/1,123.26
  6. Step 6: Final answer
    x = 696.27

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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.