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Finding the Fourth Proportional to 1,322.58, 1,984.11 and 543.01

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Solution

The fourth proportional to 1,322.58, 1,984.11 and 543.01 is: 814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.58 : 1,984.11 = 543.01 : x
  2. Step 2: Convert to fraction form
    1,322.58/1,984.11 = 543.01/x
  3. Step 3: Cross multiply
    1,322.58x = 1,984.11 × 543.01
  4. Step 4: Simplify right side
    1,322.58x = 1,077,388.29
  5. Step 5: Solve for x
    x = 1,077,388.29/1,322.58
  6. Step 6: Final answer
    x = 814.61

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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.