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Finding the Fourth Proportional to 1,464.99, 2,021.59 and 867.48

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Solution

The fourth proportional to 1,464.99, 2,021.59 and 867.48 is: 1,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.99 : 2,021.59 = 867.48 : x
  2. Step 2: Convert to fraction form
    1,464.99/2,021.59 = 867.48/x
  3. Step 3: Cross multiply
    1,464.99x = 2,021.59 × 867.48
  4. Step 4: Simplify right side
    1,464.99x = 1,753,682.40
  5. Step 5: Solve for x
    x = 1,753,682.40/1,464.99
  6. Step 6: Final answer
    x = 1,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.