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Finding the Fourth Proportional to 1,119.25, 1,678.60 and 339.04

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Solution

The fourth proportional to 1,119.25, 1,678.60 and 339.04 is: 508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.25 : 1,678.60 = 339.04 : x
  2. Step 2: Convert to fraction form
    1,119.25/1,678.60 = 339.04/x
  3. Step 3: Cross multiply
    1,119.25x = 1,678.60 × 339.04
  4. Step 4: Simplify right side
    1,119.25x = 569,112.54
  5. Step 5: Solve for x
    x = 569,112.54/1,119.25
  6. Step 6: Final answer
    x = 508.48

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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.