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Finding the Fourth Proportional to 841.77, 1,261.14 and 450.95

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Solution

The fourth proportional to 841.77, 1,261.14 and 450.95 is: 675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.77 : 1,261.14 = 450.95 : x
  2. Step 2: Convert to fraction form
    841.77/1,261.14 = 450.95/x
  3. Step 3: Cross multiply
    841.77x = 1,261.14 × 450.95
  4. Step 4: Simplify right side
    841.77x = 568,704.78
  5. Step 5: Solve for x
    x = 568,704.78/841.77
  6. Step 6: Final answer
    x = 675.61

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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.