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Finding the Fourth Proportional to 1,192.37, 1,646.05 and 794.70

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Solution

The fourth proportional to 1,192.37, 1,646.05 and 794.70 is: 1,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.37 : 1,646.05 = 794.70 : x
  2. Step 2: Convert to fraction form
    1,192.37/1,646.05 = 794.70/x
  3. Step 3: Cross multiply
    1,192.37x = 1,646.05 × 794.70
  4. Step 4: Simplify right side
    1,192.37x = 1,308,115.94
  5. Step 5: Solve for x
    x = 1,308,115.94/1,192.37
  6. Step 6: Final answer
    x = 1,097.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.