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Finding the Fourth Proportional to 999.91, 1,498.84 and 383.46

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Solution

The fourth proportional to 999.91, 1,498.84 and 383.46 is: 574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.91 : 1,498.84 = 383.46 : x
  2. Step 2: Convert to fraction form
    999.91/1,498.84 = 383.46/x
  3. Step 3: Cross multiply
    999.91x = 1,498.84 × 383.46
  4. Step 4: Simplify right side
    999.91x = 574,745.19
  5. Step 5: Solve for x
    x = 574,745.19/999.91
  6. Step 6: Final answer
    x = 574.80

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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.