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Finding the Fourth Proportional to 899.18, 1,349.03 and 282.89

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Solution

The fourth proportional to 899.18, 1,349.03 and 282.89 is: 424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.18 : 1,349.03 = 282.89 : x
  2. Step 2: Convert to fraction form
    899.18/1,349.03 = 282.89/x
  3. Step 3: Cross multiply
    899.18x = 1,349.03 × 282.89
  4. Step 4: Simplify right side
    899.18x = 381,627.10
  5. Step 5: Solve for x
    x = 381,627.10/899.18
  6. Step 6: Final answer
    x = 424.42

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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.