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Finding the Fourth Proportional to 767.75, 1,059.62 and 457.43

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Solution

The fourth proportional to 767.75, 1,059.62 and 457.43 is: 631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.75 : 1,059.62 = 457.43 : x
  2. Step 2: Convert to fraction form
    767.75/1,059.62 = 457.43/x
  3. Step 3: Cross multiply
    767.75x = 1,059.62 × 457.43
  4. Step 4: Simplify right side
    767.75x = 484,699.69
  5. Step 5: Solve for x
    x = 484,699.69/767.75
  6. Step 6: Final answer
    x = 631.32

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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.