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Finding the Fourth Proportional to 677.58, 933.20 and 633.66

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Solution

The fourth proportional to 677.58, 933.20 and 633.66 is: 872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.58 : 933.20 = 633.66 : x
  2. Step 2: Convert to fraction form
    677.58/933.20 = 633.66/x
  3. Step 3: Cross multiply
    677.58x = 933.20 × 633.66
  4. Step 4: Simplify right side
    677.58x = 591,331.51
  5. Step 5: Solve for x
    x = 591,331.51/677.58
  6. Step 6: Final answer
    x = 872.71

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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.