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Finding the Fourth Proportional to 1,244.36, 1,866.64 and 422.32

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Solution

The fourth proportional to 1,244.36, 1,866.64 and 422.32 is: 633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.36 : 1,866.64 = 422.32 : x
  2. Step 2: Convert to fraction form
    1,244.36/1,866.64 = 422.32/x
  3. Step 3: Cross multiply
    1,244.36x = 1,866.64 × 422.32
  4. Step 4: Simplify right side
    1,244.36x = 788,319.40
  5. Step 5: Solve for x
    x = 788,319.40/1,244.36
  6. Step 6: Final answer
    x = 633.51

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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.