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Finding the Fourth Proportional to 999.98, 1,499.98 and 452.06

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Solution

The fourth proportional to 999.98, 1,499.98 and 452.06 is: 678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.98 : 1,499.98 = 452.06 : x
  2. Step 2: Convert to fraction form
    999.98/1,499.98 = 452.06/x
  3. Step 3: Cross multiply
    999.98x = 1,499.98 × 452.06
  4. Step 4: Simplify right side
    999.98x = 678,080.96
  5. Step 5: Solve for x
    x = 678,080.96/999.98
  6. Step 6: Final answer
    x = 678.09

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