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Finding the Fourth Proportional to 1,281.38, 1,768.32 and 757.53

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Solution

The fourth proportional to 1,281.38, 1,768.32 and 757.53 is: 1,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.38 : 1,768.32 = 757.53 : x
  2. Step 2: Convert to fraction form
    1,281.38/1,768.32 = 757.53/x
  3. Step 3: Cross multiply
    1,281.38x = 1,768.32 × 757.53
  4. Step 4: Simplify right side
    1,281.38x = 1,339,555.45
  5. Step 5: Solve for x
    x = 1,339,555.45/1,281.38
  6. Step 6: Final answer
    x = 1,045.40

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Why These Related Problems?

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