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Finding the Fourth Proportional to 1,052.46, 1,450.64 and 964.22

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Solution

The fourth proportional to 1,052.46, 1,450.64 and 964.22 is: 1,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.46 : 1,450.64 = 964.22 : x
  2. Step 2: Convert to fraction form
    1,052.46/1,450.64 = 964.22/x
  3. Step 3: Cross multiply
    1,052.46x = 1,450.64 × 964.22
  4. Step 4: Simplify right side
    1,052.46x = 1,398,731.26
  5. Step 5: Solve for x
    x = 1,398,731.26/1,052.46
  6. Step 6: Final answer
    x = 1,329.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.