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Finding the Fourth Proportional to 1,085.92, 1,628.62 and 305.98

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Solution

The fourth proportional to 1,085.92, 1,628.62 and 305.98 is: 458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.92 : 1,628.62 = 305.98 : x
  2. Step 2: Convert to fraction form
    1,085.92/1,628.62 = 305.98/x
  3. Step 3: Cross multiply
    1,085.92x = 1,628.62 × 305.98
  4. Step 4: Simplify right side
    1,085.92x = 498,325.15
  5. Step 5: Solve for x
    x = 498,325.15/1,085.92
  6. Step 6: Final answer
    x = 458.90

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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.