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Finding the Fourth Proportional to 762.23, 1,143 and 275.28

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Solution

The fourth proportional to 762.23, 1,143 and 275.28 is: 412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.23 : 1,143 = 275.28 : x
  2. Step 2: Convert to fraction form
    762.23/1,143 = 275.28/x
  3. Step 3: Cross multiply
    762.23x = 1,143 × 275.28
  4. Step 4: Simplify right side
    762.23x = 314,645.04
  5. Step 5: Solve for x
    x = 314,645.04/762.23
  6. Step 6: Final answer
    x = 412.80

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