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Finding the Fourth Proportional to 1,185.22, 1,777.68 and 492.52

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Solution

The fourth proportional to 1,185.22, 1,777.68 and 492.52 is: 738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.22 : 1,777.68 = 492.52 : x
  2. Step 2: Convert to fraction form
    1,185.22/1,777.68 = 492.52/x
  3. Step 3: Cross multiply
    1,185.22x = 1,777.68 × 492.52
  4. Step 4: Simplify right side
    1,185.22x = 875,542.95
  5. Step 5: Solve for x
    x = 875,542.95/1,185.22
  6. Step 6: Final answer
    x = 738.72

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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.