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Finding the Fourth Proportional to 999.06, 1,498.76 and 305.71

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Solution

The fourth proportional to 999.06, 1,498.76 and 305.71 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.06 : 1,498.76 = 305.71 : x
  2. Step 2: Convert to fraction form
    999.06/1,498.76 = 305.71/x
  3. Step 3: Cross multiply
    999.06x = 1,498.76 × 305.71
  4. Step 4: Simplify right side
    999.06x = 458,182.94
  5. Step 5: Solve for x
    x = 458,182.94/999.06
  6. Step 6: Final answer
    x = 458.61

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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.