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Finding the Fourth Proportional to 1,464.41, 2,196.73 and 490.51

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Solution

The fourth proportional to 1,464.41, 2,196.73 and 490.51 is: 735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.41 : 2,196.73 = 490.51 : x
  2. Step 2: Convert to fraction form
    1,464.41/2,196.73 = 490.51/x
  3. Step 3: Cross multiply
    1,464.41x = 2,196.73 × 490.51
  4. Step 4: Simplify right side
    1,464.41x = 1,077,518.03
  5. Step 5: Solve for x
    x = 1,077,518.03/1,464.41
  6. Step 6: Final answer
    x = 735.80

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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.