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Finding the Fourth Proportional to 790.22, 1,184.61 and 574.22

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Solution

The fourth proportional to 790.22, 1,184.61 and 574.22 is: 860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.22 : 1,184.61 = 574.22 : x
  2. Step 2: Convert to fraction form
    790.22/1,184.61 = 574.22/x
  3. Step 3: Cross multiply
    790.22x = 1,184.61 × 574.22
  4. Step 4: Simplify right side
    790.22x = 680,226.75
  5. Step 5: Solve for x
    x = 680,226.75/790.22
  6. Step 6: Final answer
    x = 860.81

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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.