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Finding the Fourth Proportional to 1,468.04, 2,201.34 and 543.32

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Solution

The fourth proportional to 1,468.04, 2,201.34 and 543.32 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.04 : 2,201.34 = 543.32 : x
  2. Step 2: Convert to fraction form
    1,468.04/2,201.34 = 543.32/x
  3. Step 3: Cross multiply
    1,468.04x = 2,201.34 × 543.32
  4. Step 4: Simplify right side
    1,468.04x = 1,196,032.05
  5. Step 5: Solve for x
    x = 1,196,032.05/1,468.04
  6. Step 6: Final answer
    x = 814.71

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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.