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Finding the Fourth Proportional to 1,464.86, 2,197.70 and 540.86

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Solution

The fourth proportional to 1,464.86, 2,197.70 and 540.86 is: 811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.86 : 2,197.70 = 540.86 : x
  2. Step 2: Convert to fraction form
    1,464.86/2,197.70 = 540.86/x
  3. Step 3: Cross multiply
    1,464.86x = 2,197.70 × 540.86
  4. Step 4: Simplify right side
    1,464.86x = 1,188,648.02
  5. Step 5: Solve for x
    x = 1,188,648.02/1,464.86
  6. Step 6: Final answer
    x = 811.44

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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.