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Finding the Fourth Proportional to 1,464.89, 2,197 and 424.66

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Solution

The fourth proportional to 1,464.89, 2,197 and 424.66 is: 636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.89 : 2,197 = 424.66 : x
  2. Step 2: Convert to fraction form
    1,464.89/2,197 = 424.66/x
  3. Step 3: Cross multiply
    1,464.89x = 2,197 × 424.66
  4. Step 4: Simplify right side
    1,464.89x = 932,978.02
  5. Step 5: Solve for x
    x = 932,978.02/1,464.89
  6. Step 6: Final answer
    x = 636.89

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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.