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Finding the Fourth Proportional to 1,323.15, 1,984.72 and 543.02

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Solution

The fourth proportional to 1,323.15, 1,984.72 and 543.02 is: 814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.15 : 1,984.72 = 543.02 : x
  2. Step 2: Convert to fraction form
    1,323.15/1,984.72 = 543.02/x
  3. Step 3: Cross multiply
    1,323.15x = 1,984.72 × 543.02
  4. Step 4: Simplify right side
    1,323.15x = 1,077,732.39
  5. Step 5: Solve for x
    x = 1,077,732.39/1,323.15
  6. Step 6: Final answer
    x = 814.52

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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.