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Finding the Fourth Proportional to 790.67, 1,184.70 and 558.42

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Solution

The fourth proportional to 790.67, 1,184.70 and 558.42 is: 836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.67 : 1,184.70 = 558.42 : x
  2. Step 2: Convert to fraction form
    790.67/1,184.70 = 558.42/x
  3. Step 3: Cross multiply
    790.67x = 1,184.70 × 558.42
  4. Step 4: Simplify right side
    790.67x = 661,560.17
  5. Step 5: Solve for x
    x = 661,560.17/790.67
  6. Step 6: Final answer
    x = 836.71

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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.