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Finding the Fourth Proportional to 953.36, 1,428.56 and 644.12

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Solution

The fourth proportional to 953.36, 1,428.56 and 644.12 is: 965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.36 : 1,428.56 = 644.12 : x
  2. Step 2: Convert to fraction form
    953.36/1,428.56 = 644.12/x
  3. Step 3: Cross multiply
    953.36x = 1,428.56 × 644.12
  4. Step 4: Simplify right side
    953.36x = 920,164.07
  5. Step 5: Solve for x
    x = 920,164.07/953.36
  6. Step 6: Final answer
    x = 965.18

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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.