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Finding the Fourth Proportional to 1,281.91, 1,768.95 and 757.84

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Solution

The fourth proportional to 1,281.91, 1,768.95 and 757.84 is: 1,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.91 : 1,768.95 = 757.84 : x
  2. Step 2: Convert to fraction form
    1,281.91/1,768.95 = 757.84/x
  3. Step 3: Cross multiply
    1,281.91x = 1,768.95 × 757.84
  4. Step 4: Simplify right side
    1,281.91x = 1,340,581.07
  5. Step 5: Solve for x
    x = 1,340,581.07/1,281.91
  6. Step 6: Final answer
    x = 1,045.77

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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.