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Finding the Fourth Proportional to 770.95, 1,063.87 and 421.62

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Solution

The fourth proportional to 770.95, 1,063.87 and 421.62 is: 581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.95 : 1,063.87 = 421.62 : x
  2. Step 2: Convert to fraction form
    770.95/1,063.87 = 421.62/x
  3. Step 3: Cross multiply
    770.95x = 1,063.87 × 421.62
  4. Step 4: Simplify right side
    770.95x = 448,548.87
  5. Step 5: Solve for x
    x = 448,548.87/770.95
  6. Step 6: Final answer
    x = 581.81

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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.