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Finding the Fourth Proportional to 770.33, 1,063.01 and 438.71

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Solution

The fourth proportional to 770.33, 1,063.01 and 438.71 is: 605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.33 : 1,063.01 = 438.71 : x
  2. Step 2: Convert to fraction form
    770.33/1,063.01 = 438.71/x
  3. Step 3: Cross multiply
    770.33x = 1,063.01 × 438.71
  4. Step 4: Simplify right side
    770.33x = 466,348.90
  5. Step 5: Solve for x
    x = 466,348.90/770.33
  6. Step 6: Final answer
    x = 605.39

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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.