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Finding the Fourth Proportional to 770.68, 1,063.54 and 421.37

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Solution

The fourth proportional to 770.68, 1,063.54 and 421.37 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.68 : 1,063.54 = 421.37 : x
  2. Step 2: Convert to fraction form
    770.68/1,063.54 = 421.37/x
  3. Step 3: Cross multiply
    770.68x = 1,063.54 × 421.37
  4. Step 4: Simplify right side
    770.68x = 448,142.24
  5. Step 5: Solve for x
    x = 448,142.24/770.68
  6. Step 6: Final answer
    x = 581.49

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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.