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Finding the Fourth Proportional to 762.17, 1,141.41 and 436.55

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Solution

The fourth proportional to 762.17, 1,141.41 and 436.55 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.17 : 1,141.41 = 436.55 : x
  2. Step 2: Convert to fraction form
    762.17/1,141.41 = 436.55/x
  3. Step 3: Cross multiply
    762.17x = 1,141.41 × 436.55
  4. Step 4: Simplify right side
    762.17x = 498,282.54
  5. Step 5: Solve for x
    x = 498,282.54/762.17
  6. Step 6: Final answer
    x = 653.77

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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.