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Finding the Fourth Proportional to 908.64, 1,361.70 and 496.92

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Solution

The fourth proportional to 908.64, 1,361.70 and 496.92 is: 744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.64 : 1,361.70 = 496.92 : x
  2. Step 2: Convert to fraction form
    908.64/1,361.70 = 496.92/x
  3. Step 3: Cross multiply
    908.64x = 1,361.70 × 496.92
  4. Step 4: Simplify right side
    908.64x = 676,655.96
  5. Step 5: Solve for x
    x = 676,655.96/908.64
  6. Step 6: Final answer
    x = 744.69

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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.