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Finding the Fourth Proportional to 899.65, 1,349.49 and 283.75

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Solution

The fourth proportional to 899.65, 1,349.49 and 283.75 is: 425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.65 : 1,349.49 = 283.75 : x
  2. Step 2: Convert to fraction form
    899.65/1,349.49 = 283.75/x
  3. Step 3: Cross multiply
    899.65x = 1,349.49 × 283.75
  4. Step 4: Simplify right side
    899.65x = 382,917.79
  5. Step 5: Solve for x
    x = 382,917.79/899.65
  6. Step 6: Final answer
    x = 425.63

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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.