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Finding the Fourth Proportional to 841.72, 1,261.98 and 321.74

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Solution

The fourth proportional to 841.72, 1,261.98 and 321.74 is: 482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.72 : 1,261.98 = 321.74 : x
  2. Step 2: Convert to fraction form
    841.72/1,261.98 = 321.74/x
  3. Step 3: Cross multiply
    841.72x = 1,261.98 × 321.74
  4. Step 4: Simplify right side
    841.72x = 406,029.45
  5. Step 5: Solve for x
    x = 406,029.45/841.72
  6. Step 6: Final answer
    x = 482.38

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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.