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Finding the Fourth Proportional to 762.28, 1,142.94 and 275.24

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Solution

The fourth proportional to 762.28, 1,142.94 and 275.24 is: 412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.28 : 1,142.94 = 275.24 : x
  2. Step 2: Convert to fraction form
    762.28/1,142.94 = 275.24/x
  3. Step 3: Cross multiply
    762.28x = 1,142.94 × 275.24
  4. Step 4: Simplify right side
    762.28x = 314,582.81
  5. Step 5: Solve for x
    x = 314,582.81/762.28
  6. Step 6: Final answer
    x = 412.69

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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.