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Finding the Fourth Proportional to 1,120.43, 1,680.78 and 298.72

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Solution

The fourth proportional to 1,120.43, 1,680.78 and 298.72 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.43 : 1,680.78 = 298.72 : x
  2. Step 2: Convert to fraction form
    1,120.43/1,680.78 = 298.72/x
  3. Step 3: Cross multiply
    1,120.43x = 1,680.78 × 298.72
  4. Step 4: Simplify right side
    1,120.43x = 502,085.82
  5. Step 5: Solve for x
    x = 502,085.82/1,120.43
  6. Step 6: Final answer
    x = 448.12

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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.