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Finding the Fourth Proportional to 1,281.70, 1,768.46 and 750.44

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Solution

The fourth proportional to 1,281.70, 1,768.46 and 750.44 is: 1,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.70 : 1,768.46 = 750.44 : x
  2. Step 2: Convert to fraction form
    1,281.70/1,768.46 = 750.44/x
  3. Step 3: Cross multiply
    1,281.70x = 1,768.46 × 750.44
  4. Step 4: Simplify right side
    1,281.70x = 1,327,123.12
  5. Step 5: Solve for x
    x = 1,327,123.12/1,281.70
  6. Step 6: Final answer
    x = 1,035.44

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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.