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Finding the Fourth Proportional to 1,120.34, 1,680.69 and 390.35

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Solution

The fourth proportional to 1,120.34, 1,680.69 and 390.35 is: 585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.34 : 1,680.69 = 390.35 : x
  2. Step 2: Convert to fraction form
    1,120.34/1,680.69 = 390.35/x
  3. Step 3: Cross multiply
    1,120.34x = 1,680.69 × 390.35
  4. Step 4: Simplify right side
    1,120.34x = 656,057.34
  5. Step 5: Solve for x
    x = 656,057.34/1,120.34
  6. Step 6: Final answer
    x = 585.59

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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.