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Finding the Fourth Proportional to 777.68, 1,073.02 and 467

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Solution

The fourth proportional to 777.68, 1,073.02 and 467 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.68 : 1,073.02 = 467 : x
  2. Step 2: Convert to fraction form
    777.68/1,073.02 = 467/x
  3. Step 3: Cross multiply
    777.68x = 1,073.02 × 467
  4. Step 4: Simplify right side
    777.68x = 501,100.34
  5. Step 5: Solve for x
    x = 501,100.34/777.68
  6. Step 6: Final answer
    x = 644.35

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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.