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Finding the Fourth Proportional to 1,257.21, 1,885.82 and 435.48

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Solution

The fourth proportional to 1,257.21, 1,885.82 and 435.48 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.21 : 1,885.82 = 435.48 : x
  2. Step 2: Convert to fraction form
    1,257.21/1,885.82 = 435.48/x
  3. Step 3: Cross multiply
    1,257.21x = 1,885.82 × 435.48
  4. Step 4: Simplify right side
    1,257.21x = 821,239.43
  5. Step 5: Solve for x
    x = 821,239.43/1,257.21
  6. Step 6: Final answer
    x = 653.22

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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.