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Finding the Fourth Proportional to 770.95, 1,063.96 and 456.40

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Solution

The fourth proportional to 770.95, 1,063.96 and 456.40 is: 629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.95 : 1,063.96 = 456.40 : x
  2. Step 2: Convert to fraction form
    770.95/1,063.96 = 456.40/x
  3. Step 3: Cross multiply
    770.95x = 1,063.96 × 456.40
  4. Step 4: Simplify right side
    770.95x = 485,591.34
  5. Step 5: Solve for x
    x = 485,591.34/770.95
  6. Step 6: Final answer
    x = 629.86

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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.