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Finding the Fourth Proportional to 637.16, 881.04 and 505.94

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Solution

The fourth proportional to 637.16, 881.04 and 505.94 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.16 : 881.04 = 505.94 : x
  2. Step 2: Convert to fraction form
    637.16/881.04 = 505.94/x
  3. Step 3: Cross multiply
    637.16x = 881.04 × 505.94
  4. Step 4: Simplify right side
    637.16x = 445,748.97
  5. Step 5: Solve for x
    x = 445,748.97/637.16
  6. Step 6: Final answer
    x = 699.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.