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Finding the Fourth Proportional to 770.49, 1,063.26 and 421.18

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Solution

The fourth proportional to 770.49, 1,063.26 and 421.18 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.49 : 1,063.26 = 421.18 : x
  2. Step 2: Convert to fraction form
    770.49/1,063.26 = 421.18/x
  3. Step 3: Cross multiply
    770.49x = 1,063.26 × 421.18
  4. Step 4: Simplify right side
    770.49x = 447,821.19
  5. Step 5: Solve for x
    x = 447,821.19/770.49
  6. Step 6: Final answer
    x = 581.22

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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.