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Finding the Fourth Proportional to 677.94, 929.15 and 669.30

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Solution

The fourth proportional to 677.94, 929.15 and 669.30 is: 917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 929.15 = 669.30 : x
  2. Step 2: Convert to fraction form
    677.94/929.15 = 669.30/x
  3. Step 3: Cross multiply
    677.94x = 929.15 × 669.30
  4. Step 4: Simplify right side
    677.94x = 621,876.75
  5. Step 5: Solve for x
    x = 621,876.75/677.94
  6. Step 6: Final answer
    x = 917.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.