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Finding the Fourth Proportional to 1,217.32, 1,828.02 and 757.78

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Solution

The fourth proportional to 1,217.32, 1,828.02 and 757.78 is: 1,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.32 : 1,828.02 = 757.78 : x
  2. Step 2: Convert to fraction form
    1,217.32/1,828.02 = 757.78/x
  3. Step 3: Cross multiply
    1,217.32x = 1,828.02 × 757.78
  4. Step 4: Simplify right side
    1,217.32x = 1,385,237.00
  5. Step 5: Solve for x
    x = 1,385,237.00/1,217.32
  6. Step 6: Final answer
    x = 1,137.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.