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Finding the Fourth Proportional to 770.69, 1,062.62 and 534.84

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Solution

The fourth proportional to 770.69, 1,062.62 and 534.84 is: 737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.69 : 1,062.62 = 534.84 : x
  2. Step 2: Convert to fraction form
    770.69/1,062.62 = 534.84/x
  3. Step 3: Cross multiply
    770.69x = 1,062.62 × 534.84
  4. Step 4: Simplify right side
    770.69x = 568,329.01
  5. Step 5: Solve for x
    x = 568,329.01/770.69
  6. Step 6: Final answer
    x = 737.43

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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.