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Finding the Fourth Proportional to 790.82, 1,186.38 and 637.73

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Solution

The fourth proportional to 790.82, 1,186.38 and 637.73 is: 956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.82 : 1,186.38 = 637.73 : x
  2. Step 2: Convert to fraction form
    790.82/1,186.38 = 637.73/x
  3. Step 3: Cross multiply
    790.82x = 1,186.38 × 637.73
  4. Step 4: Simplify right side
    790.82x = 756,590.12
  5. Step 5: Solve for x
    x = 756,590.12/790.82
  6. Step 6: Final answer
    x = 956.72

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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.