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Finding the Fourth Proportional to 1,266.78, 1,899.82 and 433.83

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Solution

The fourth proportional to 1,266.78, 1,899.82 and 433.83 is: 650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.78 : 1,899.82 = 433.83 : x
  2. Step 2: Convert to fraction form
    1,266.78/1,899.82 = 433.83/x
  3. Step 3: Cross multiply
    1,266.78x = 1,899.82 × 433.83
  4. Step 4: Simplify right side
    1,266.78x = 824,198.91
  5. Step 5: Solve for x
    x = 824,198.91/1,266.78
  6. Step 6: Final answer
    x = 650.63

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Double scale
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1.5x scale

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.