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Finding the Fourth Proportional to 790.93, 1,186.82 and 329.03

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Solution

The fourth proportional to 790.93, 1,186.82 and 329.03 is: 493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.93 : 1,186.82 = 329.03 : x
  2. Step 2: Convert to fraction form
    790.93/1,186.82 = 329.03/x
  3. Step 3: Cross multiply
    790.93x = 1,186.82 × 329.03
  4. Step 4: Simplify right side
    790.93x = 390,498.72
  5. Step 5: Solve for x
    x = 390,498.72/790.93
  6. Step 6: Final answer
    x = 493.72

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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.