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Finding the Fourth Proportional to 1,120.32, 1,678.32 and 541.44

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Solution

The fourth proportional to 1,120.32, 1,678.32 and 541.44 is: 811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.32 : 1,678.32 = 541.44 : x
  2. Step 2: Convert to fraction form
    1,120.32/1,678.32 = 541.44/x
  3. Step 3: Cross multiply
    1,120.32x = 1,678.32 × 541.44
  4. Step 4: Simplify right side
    1,120.32x = 908,709.58
  5. Step 5: Solve for x
    x = 908,709.58/1,120.32
  6. Step 6: Final answer
    x = 811.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.