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Finding the Fourth Proportional to 770.26, 1,062.93 and 438.64

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Solution

The fourth proportional to 770.26, 1,062.93 and 438.64 is: 605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.26 : 1,062.93 = 438.64 : x
  2. Step 2: Convert to fraction form
    770.26/1,062.93 = 438.64/x
  3. Step 3: Cross multiply
    770.26x = 1,062.93 × 438.64
  4. Step 4: Simplify right side
    770.26x = 466,243.62
  5. Step 5: Solve for x
    x = 466,243.62/770.26
  6. Step 6: Final answer
    x = 605.31

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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.