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Finding the Fourth Proportional to 1,266.75, 1,898.83 and 486.55

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Solution

The fourth proportional to 1,266.75, 1,898.83 and 486.55 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.75 : 1,898.83 = 486.55 : x
  2. Step 2: Convert to fraction form
    1,266.75/1,898.83 = 486.55/x
  3. Step 3: Cross multiply
    1,266.75x = 1,898.83 × 486.55
  4. Step 4: Simplify right side
    1,266.75x = 923,875.74
  5. Step 5: Solve for x
    x = 923,875.74/1,266.75
  6. Step 6: Final answer
    x = 729.33

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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.