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Finding the Fourth Proportional to 770.14, 1,062.78 and 438.58

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Solution

The fourth proportional to 770.14, 1,062.78 and 438.58 is: 605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.14 : 1,062.78 = 438.58 : x
  2. Step 2: Convert to fraction form
    770.14/1,062.78 = 438.58/x
  3. Step 3: Cross multiply
    770.14x = 1,062.78 × 438.58
  4. Step 4: Simplify right side
    770.14x = 466,114.05
  5. Step 5: Solve for x
    x = 466,114.05/770.14
  6. Step 6: Final answer
    x = 605.23

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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.