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Finding the Fourth Proportional to 899.12, 1,348.70 and 282.87

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Solution

The fourth proportional to 899.12, 1,348.70 and 282.87 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.12 : 1,348.70 = 282.87 : x
  2. Step 2: Convert to fraction form
    899.12/1,348.70 = 282.87/x
  3. Step 3: Cross multiply
    899.12x = 1,348.70 × 282.87
  4. Step 4: Simplify right side
    899.12x = 381,505.35
  5. Step 5: Solve for x
    x = 381,505.35/899.12
  6. Step 6: Final answer
    x = 424.31

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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.