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Finding the Fourth Proportional to 1,266.46, 1,899.96 and 400.78

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Solution

The fourth proportional to 1,266.46, 1,899.96 and 400.78 is: 601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.46 : 1,899.96 = 400.78 : x
  2. Step 2: Convert to fraction form
    1,266.46/1,899.96 = 400.78/x
  3. Step 3: Cross multiply
    1,266.46x = 1,899.96 × 400.78
  4. Step 4: Simplify right side
    1,266.46x = 761,465.97
  5. Step 5: Solve for x
    x = 761,465.97/1,266.46
  6. Step 6: Final answer
    x = 601.26

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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.