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Finding the Fourth Proportional to 899.99, 1,350.21 and 283.76

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Solution

The fourth proportional to 899.99, 1,350.21 and 283.76 is: 425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.99 : 1,350.21 = 283.76 : x
  2. Step 2: Convert to fraction form
    899.99/1,350.21 = 283.76/x
  3. Step 3: Cross multiply
    899.99x = 1,350.21 × 283.76
  4. Step 4: Simplify right side
    899.99x = 383,135.59
  5. Step 5: Solve for x
    x = 383,135.59/899.99
  6. Step 6: Final answer
    x = 425.71

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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.