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Finding the Fourth Proportional to 762.55, 1,145.97 and 454.46

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Solution

The fourth proportional to 762.55, 1,145.97 and 454.46 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.55 : 1,145.97 = 454.46 : x
  2. Step 2: Convert to fraction form
    762.55/1,145.97 = 454.46/x
  3. Step 3: Cross multiply
    762.55x = 1,145.97 × 454.46
  4. Step 4: Simplify right side
    762.55x = 520,797.53
  5. Step 5: Solve for x
    x = 520,797.53/762.55
  6. Step 6: Final answer
    x = 682.97

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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.