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Finding the Fourth Proportional to 677.61, 935.54 and 607.54

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Solution

The fourth proportional to 677.61, 935.54 and 607.54 is: 838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.61 : 935.54 = 607.54 : x
  2. Step 2: Convert to fraction form
    677.61/935.54 = 607.54/x
  3. Step 3: Cross multiply
    677.61x = 935.54 × 607.54
  4. Step 4: Simplify right side
    677.61x = 568,377.97
  5. Step 5: Solve for x
    x = 568,377.97/677.61
  6. Step 6: Final answer
    x = 838.80

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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.