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Finding the Fourth Proportional to 770.50, 1,062.92 and 455.68

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Solution

The fourth proportional to 770.50, 1,062.92 and 455.68 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.50 : 1,062.92 = 455.68 : x
  2. Step 2: Convert to fraction form
    770.50/1,062.92 = 455.68/x
  3. Step 3: Cross multiply
    770.50x = 1,062.92 × 455.68
  4. Step 4: Simplify right side
    770.50x = 484,351.39
  5. Step 5: Solve for x
    x = 484,351.39/770.50
  6. Step 6: Final answer
    x = 628.62

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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.