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Finding the Fourth Proportional to 1,108.65, 1,662.97 and 339.15

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Solution

The fourth proportional to 1,108.65, 1,662.97 and 339.15 is: 508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.65 : 1,662.97 = 339.15 : x
  2. Step 2: Convert to fraction form
    1,108.65/1,662.97 = 339.15/x
  3. Step 3: Cross multiply
    1,108.65x = 1,662.97 × 339.15
  4. Step 4: Simplify right side
    1,108.65x = 563,996.28
  5. Step 5: Solve for x
    x = 563,996.28/1,108.65
  6. Step 6: Final answer
    x = 508.72

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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.