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Finding the Fourth Proportional to 762.41, 1,145.14 and 454.21

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Solution

The fourth proportional to 762.41, 1,145.14 and 454.21 is: 682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.41 : 1,145.14 = 454.21 : x
  2. Step 2: Convert to fraction form
    762.41/1,145.14 = 454.21/x
  3. Step 3: Cross multiply
    762.41x = 1,145.14 × 454.21
  4. Step 4: Simplify right side
    762.41x = 520,130.04
  5. Step 5: Solve for x
    x = 520,130.04/762.41
  6. Step 6: Final answer
    x = 682.22

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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.