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Finding the Fourth Proportional to 790.84, 1,186.22 and 328.50

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Solution

The fourth proportional to 790.84, 1,186.22 and 328.50 is: 492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.84 : 1,186.22 = 328.50 : x
  2. Step 2: Convert to fraction form
    790.84/1,186.22 = 328.50/x
  3. Step 3: Cross multiply
    790.84x = 1,186.22 × 328.50
  4. Step 4: Simplify right side
    790.84x = 389,673.27
  5. Step 5: Solve for x
    x = 389,673.27/790.84
  6. Step 6: Final answer
    x = 492.73

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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.