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Finding the Fourth Proportional to 841.57, 1,261.25 and 645.83

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Solution

The fourth proportional to 841.57, 1,261.25 and 645.83 is: 967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.57 : 1,261.25 = 645.83 : x
  2. Step 2: Convert to fraction form
    841.57/1,261.25 = 645.83/x
  3. Step 3: Cross multiply
    841.57x = 1,261.25 × 645.83
  4. Step 4: Simplify right side
    841.57x = 814,546.84
  5. Step 5: Solve for x
    x = 814,546.84/841.57
  6. Step 6: Final answer
    x = 967.88

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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.