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Finding the Fourth Proportional to 1,162.62, 1,740.42 and 750.33

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Solution

The fourth proportional to 1,162.62, 1,740.42 and 750.33 is: 1,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.62 : 1,740.42 = 750.33 : x
  2. Step 2: Convert to fraction form
    1,162.62/1,740.42 = 750.33/x
  3. Step 3: Cross multiply
    1,162.62x = 1,740.42 × 750.33
  4. Step 4: Simplify right side
    1,162.62x = 1,305,889.34
  5. Step 5: Solve for x
    x = 1,305,889.34/1,162.62
  6. Step 6: Final answer
    x = 1,123.23

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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.