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Finding the Fourth Proportional to 864.45, 1,297.26 and 540.03

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Solution

The fourth proportional to 864.45, 1,297.26 and 540.03 is: 810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.45 : 1,297.26 = 540.03 : x
  2. Step 2: Convert to fraction form
    864.45/1,297.26 = 540.03/x
  3. Step 3: Cross multiply
    864.45x = 1,297.26 × 540.03
  4. Step 4: Simplify right side
    864.45x = 700,559.32
  5. Step 5: Solve for x
    x = 700,559.32/864.45
  6. Step 6: Final answer
    x = 810.41

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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.