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Finding the Fourth Proportional to 765.28, 1,148.32 and 380.48

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Solution

The fourth proportional to 765.28, 1,148.32 and 380.48 is: 570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.28 : 1,148.32 = 380.48 : x
  2. Step 2: Convert to fraction form
    765.28/1,148.32 = 380.48/x
  3. Step 3: Cross multiply
    765.28x = 1,148.32 × 380.48
  4. Step 4: Simplify right side
    765.28x = 436,912.79
  5. Step 5: Solve for x
    x = 436,912.79/765.28
  6. Step 6: Final answer
    x = 570.92

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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.