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Finding the Fourth Proportional to 905.04, 1,356.84 and 645.03

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Solution

The fourth proportional to 905.04, 1,356.84 and 645.03 is: 967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,356.84 = 645.03 : x
  2. Step 2: Convert to fraction form
    905.04/1,356.84 = 645.03/x
  3. Step 3: Cross multiply
    905.04x = 1,356.84 × 645.03
  4. Step 4: Simplify right side
    905.04x = 875,202.51
  5. Step 5: Solve for x
    x = 875,202.51/905.04
  6. Step 6: Final answer
    x = 967.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.