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Finding the Fourth Proportional to 1,490.49, 2,235.81 and 668.82

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Solution

The fourth proportional to 1,490.49, 2,235.81 and 668.82 is: 1,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.49 : 2,235.81 = 668.82 : x
  2. Step 2: Convert to fraction form
    1,490.49/2,235.81 = 668.82/x
  3. Step 3: Cross multiply
    1,490.49x = 2,235.81 × 668.82
  4. Step 4: Simplify right side
    1,490.49x = 1,495,354.44
  5. Step 5: Solve for x
    x = 1,495,354.44/1,490.49
  6. Step 6: Final answer
    x = 1,003.26

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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.