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Finding the Fourth Proportional to 677.73, 935.53 and 511.88

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Solution

The fourth proportional to 677.73, 935.53 and 511.88 is: 706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.73 : 935.53 = 511.88 : x
  2. Step 2: Convert to fraction form
    677.73/935.53 = 511.88/x
  3. Step 3: Cross multiply
    677.73x = 935.53 × 511.88
  4. Step 4: Simplify right side
    677.73x = 478,879.10
  5. Step 5: Solve for x
    x = 478,879.10/677.73
  6. Step 6: Final answer
    x = 706.59

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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.