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Finding the Fourth Proportional to 770.88, 1,063.71 and 456.24

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Solution

The fourth proportional to 770.88, 1,063.71 and 456.24 is: 629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.88 : 1,063.71 = 456.24 : x
  2. Step 2: Convert to fraction form
    770.88/1,063.71 = 456.24/x
  3. Step 3: Cross multiply
    770.88x = 1,063.71 × 456.24
  4. Step 4: Simplify right side
    770.88x = 485,307.05
  5. Step 5: Solve for x
    x = 485,307.05/770.88
  6. Step 6: Final answer
    x = 629.55

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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.