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Finding the Fourth Proportional to 894.51, 1,340.28 and 633.22

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Solution

The fourth proportional to 894.51, 1,340.28 and 633.22 is: 948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.51 : 1,340.28 = 633.22 : x
  2. Step 2: Convert to fraction form
    894.51/1,340.28 = 633.22/x
  3. Step 3: Cross multiply
    894.51x = 1,340.28 × 633.22
  4. Step 4: Simplify right side
    894.51x = 848,682.23
  5. Step 5: Solve for x
    x = 848,682.23/894.51
  6. Step 6: Final answer
    x = 948.77

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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.