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Finding the Fourth Proportional to 931.46, 1,396.94 and 437.82

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Solution

The fourth proportional to 931.46, 1,396.94 and 437.82 is: 656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.46 : 1,396.94 = 437.82 : x
  2. Step 2: Convert to fraction form
    931.46/1,396.94 = 437.82/x
  3. Step 3: Cross multiply
    931.46x = 1,396.94 × 437.82
  4. Step 4: Simplify right side
    931.46x = 611,606.08
  5. Step 5: Solve for x
    x = 611,606.08/931.46
  6. Step 6: Final answer
    x = 656.61

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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.