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Finding the Fourth Proportional to 999.14, 1,497.49 and 450.77

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Solution

The fourth proportional to 999.14, 1,497.49 and 450.77 is: 675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.14 : 1,497.49 = 450.77 : x
  2. Step 2: Convert to fraction form
    999.14/1,497.49 = 450.77/x
  3. Step 3: Cross multiply
    999.14x = 1,497.49 × 450.77
  4. Step 4: Simplify right side
    999.14x = 675,014.95
  5. Step 5: Solve for x
    x = 675,014.95/999.14
  6. Step 6: Final answer
    x = 675.60

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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.