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Finding the Fourth Proportional to 1,322.68, 1,982.76 and 543.26

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Solution

The fourth proportional to 1,322.68, 1,982.76 and 543.26 is: 814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.68 : 1,982.76 = 543.26 : x
  2. Step 2: Convert to fraction form
    1,322.68/1,982.76 = 543.26/x
  3. Step 3: Cross multiply
    1,322.68x = 1,982.76 × 543.26
  4. Step 4: Simplify right side
    1,322.68x = 1,077,154.20
  5. Step 5: Solve for x
    x = 1,077,154.20/1,322.68
  6. Step 6: Final answer
    x = 814.37

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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.