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Finding the Fourth Proportional to 662.94, 914.31 and 574.62

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Solution

The fourth proportional to 662.94, 914.31 and 574.62 is: 792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.94 : 914.31 = 574.62 : x
  2. Step 2: Convert to fraction form
    662.94/914.31 = 574.62/x
  3. Step 3: Cross multiply
    662.94x = 914.31 × 574.62
  4. Step 4: Simplify right side
    662.94x = 525,380.81
  5. Step 5: Solve for x
    x = 525,380.81/662.94
  6. Step 6: Final answer
    x = 792.50

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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.