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Finding the Fourth Proportional to 1,052.29, 1,454.04 and 757.05

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Solution

The fourth proportional to 1,052.29, 1,454.04 and 757.05 is: 1,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.29 : 1,454.04 = 757.05 : x
  2. Step 2: Convert to fraction form
    1,052.29/1,454.04 = 757.05/x
  3. Step 3: Cross multiply
    1,052.29x = 1,454.04 × 757.05
  4. Step 4: Simplify right side
    1,052.29x = 1,100,780.98
  5. Step 5: Solve for x
    x = 1,100,780.98/1,052.29
  6. Step 6: Final answer
    x = 1,046.08

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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.