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Finding the Fourth Proportional to 762.33, 1,142.80 and 275.03

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Solution

The fourth proportional to 762.33, 1,142.80 and 275.03 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.33 : 1,142.80 = 275.03 : x
  2. Step 2: Convert to fraction form
    762.33/1,142.80 = 275.03/x
  3. Step 3: Cross multiply
    762.33x = 1,142.80 × 275.03
  4. Step 4: Simplify right side
    762.33x = 314,304.28
  5. Step 5: Solve for x
    x = 314,304.28/762.33
  6. Step 6: Final answer
    x = 412.29

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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.