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Finding the Fourth Proportional to 999.51, 1,499.10 and 382.90

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Solution

The fourth proportional to 999.51, 1,499.10 and 382.90 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.51 : 1,499.10 = 382.90 : x
  2. Step 2: Convert to fraction form
    999.51/1,499.10 = 382.90/x
  3. Step 3: Cross multiply
    999.51x = 1,499.10 × 382.90
  4. Step 4: Simplify right side
    999.51x = 574,005.39
  5. Step 5: Solve for x
    x = 574,005.39/999.51
  6. Step 6: Final answer
    x = 574.29

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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.