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Finding the Fourth Proportional to 1,236.55, 1,855.45 and 543.03

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Solution

The fourth proportional to 1,236.55, 1,855.45 and 543.03 is: 814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.55 : 1,855.45 = 543.03 : x
  2. Step 2: Convert to fraction form
    1,236.55/1,855.45 = 543.03/x
  3. Step 3: Cross multiply
    1,236.55x = 1,855.45 × 543.03
  4. Step 4: Simplify right side
    1,236.55x = 1,007,565.01
  5. Step 5: Solve for x
    x = 1,007,565.01/1,236.55
  6. Step 6: Final answer
    x = 814.82

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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.