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Finding the Fourth Proportional to 770.82, 1,063.64 and 439.25

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Solution

The fourth proportional to 770.82, 1,063.64 and 439.25 is: 606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,063.64 = 439.25 : x
  2. Step 2: Convert to fraction form
    770.82/1,063.64 = 439.25/x
  3. Step 3: Cross multiply
    770.82x = 1,063.64 × 439.25
  4. Step 4: Simplify right side
    770.82x = 467,196.36
  5. Step 5: Solve for x
    x = 467,196.36/770.82
  6. Step 6: Final answer
    x = 606.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.