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Finding the Fourth Proportional to 770.36, 1,063.14 and 459.88

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Solution

The fourth proportional to 770.36, 1,063.14 and 459.88 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.36 : 1,063.14 = 459.88 : x
  2. Step 2: Convert to fraction form
    770.36/1,063.14 = 459.88/x
  3. Step 3: Cross multiply
    770.36x = 1,063.14 × 459.88
  4. Step 4: Simplify right side
    770.36x = 488,916.82
  5. Step 5: Solve for x
    x = 488,916.82/770.36
  6. Step 6: Final answer
    x = 634.66

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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.