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Finding the Fourth Proportional to 1,465.13, 2,197.67 and 540.33

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Solution

The fourth proportional to 1,465.13, 2,197.67 and 540.33 is: 810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.13 : 2,197.67 = 540.33 : x
  2. Step 2: Convert to fraction form
    1,465.13/2,197.67 = 540.33/x
  3. Step 3: Cross multiply
    1,465.13x = 2,197.67 × 540.33
  4. Step 4: Simplify right side
    1,465.13x = 1,187,464.33
  5. Step 5: Solve for x
    x = 1,187,464.33/1,465.13
  6. Step 6: Final answer
    x = 810.49

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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.