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Finding the Fourth Proportional to 677.94, 935.08 and 655.36

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Solution

The fourth proportional to 677.94, 935.08 and 655.36 is: 903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 935.08 = 655.36 : x
  2. Step 2: Convert to fraction form
    677.94/935.08 = 655.36/x
  3. Step 3: Cross multiply
    677.94x = 935.08 × 655.36
  4. Step 4: Simplify right side
    677.94x = 612,814.03
  5. Step 5: Solve for x
    x = 612,814.03/677.94
  6. Step 6: Final answer
    x = 903.94

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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.