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Finding the Fourth Proportional to 1,266.74, 1,898.28 and 536.84

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Solution

The fourth proportional to 1,266.74, 1,898.28 and 536.84 is: 804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.74 : 1,898.28 = 536.84 : x
  2. Step 2: Convert to fraction form
    1,266.74/1,898.28 = 536.84/x
  3. Step 3: Cross multiply
    1,266.74x = 1,898.28 × 536.84
  4. Step 4: Simplify right side
    1,266.74x = 1,019,072.64
  5. Step 5: Solve for x
    x = 1,019,072.64/1,266.74
  6. Step 6: Final answer
    x = 804.48

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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.