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Finding the Fourth Proportional to 766.62, 1,057.97 and 451.91

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Solution

The fourth proportional to 766.62, 1,057.97 and 451.91 is: 623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.62 : 1,057.97 = 451.91 : x
  2. Step 2: Convert to fraction form
    766.62/1,057.97 = 451.91/x
  3. Step 3: Cross multiply
    766.62x = 1,057.97 × 451.91
  4. Step 4: Simplify right side
    766.62x = 478,111.00
  5. Step 5: Solve for x
    x = 478,111.00/766.62
  6. Step 6: Final answer
    x = 623.66

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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.