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Finding the Fourth Proportional to 1,281.12, 1,768.30 and 757.32

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Solution

The fourth proportional to 1,281.12, 1,768.30 and 757.32 is: 1,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.12 : 1,768.30 = 757.32 : x
  2. Step 2: Convert to fraction form
    1,281.12/1,768.30 = 757.32/x
  3. Step 3: Cross multiply
    1,281.12x = 1,768.30 × 757.32
  4. Step 4: Simplify right side
    1,281.12x = 1,339,168.96
  5. Step 5: Solve for x
    x = 1,339,168.96/1,281.12
  6. Step 6: Final answer
    x = 1,045.31

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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.