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Finding the Fourth Proportional to 1,464.22, 2,196.53 and 541.07

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Solution

The fourth proportional to 1,464.22, 2,196.53 and 541.07 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.22 : 2,196.53 = 541.07 : x
  2. Step 2: Convert to fraction form
    1,464.22/2,196.53 = 541.07/x
  3. Step 3: Cross multiply
    1,464.22x = 2,196.53 × 541.07
  4. Step 4: Simplify right side
    1,464.22x = 1,188,476.49
  5. Step 5: Solve for x
    x = 1,188,476.49/1,464.22
  6. Step 6: Final answer
    x = 811.68

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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.