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Finding the Fourth Proportional to 837.66, 1,257.27 and 427.14

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Solution

The fourth proportional to 837.66, 1,257.27 and 427.14 is: 641.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.66 : 1,257.27 = 427.14 : x
  2. Step 2: Convert to fraction form
    837.66/1,257.27 = 427.14/x
  3. Step 3: Cross multiply
    837.66x = 1,257.27 × 427.14
  4. Step 4: Simplify right side
    837.66x = 537,030.31
  5. Step 5: Solve for x
    x = 537,030.31/837.66
  6. Step 6: Final answer
    x = 641.11

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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.