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Finding the Fourth Proportional to 1,464.81, 2,197.38 and 540.12

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Solution

The fourth proportional to 1,464.81, 2,197.38 and 540.12 is: 810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.81 : 2,197.38 = 540.12 : x
  2. Step 2: Convert to fraction form
    1,464.81/2,197.38 = 540.12/x
  3. Step 3: Cross multiply
    1,464.81x = 2,197.38 × 540.12
  4. Step 4: Simplify right side
    1,464.81x = 1,186,848.89
  5. Step 5: Solve for x
    x = 1,186,848.89/1,464.81
  6. Step 6: Final answer
    x = 810.24

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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.