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Finding the Fourth Proportional to 1,220.70, 1,828.40 and 750.75

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Solution

The fourth proportional to 1,220.70, 1,828.40 and 750.75 is: 1,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.70 : 1,828.40 = 750.75 : x
  2. Step 2: Convert to fraction form
    1,220.70/1,828.40 = 750.75/x
  3. Step 3: Cross multiply
    1,220.70x = 1,828.40 × 750.75
  4. Step 4: Simplify right side
    1,220.70x = 1,372,664.03
  5. Step 5: Solve for x
    x = 1,372,664.03/1,220.70
  6. Step 6: Final answer
    x = 1,124.49

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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.