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Finding the Fourth Proportional to 1,186.24, 1,780 and 492.80

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Solution

The fourth proportional to 1,186.24, 1,780 and 492.80 is: 739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.24 : 1,780 = 492.80 : x
  2. Step 2: Convert to fraction form
    1,186.24/1,780 = 492.80/x
  3. Step 3: Cross multiply
    1,186.24x = 1,780 × 492.80
  4. Step 4: Simplify right side
    1,186.24x = 877,184
  5. Step 5: Solve for x
    x = 877,184/1,186.24
  6. Step 6: Final answer
    x = 739.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.