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Finding the Fourth Proportional to 899.10, 1,346.49 and 513.54

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Solution

The fourth proportional to 899.10, 1,346.49 and 513.54 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.10 : 1,346.49 = 513.54 : x
  2. Step 2: Convert to fraction form
    899.10/1,346.49 = 513.54/x
  3. Step 3: Cross multiply
    899.10x = 1,346.49 × 513.54
  4. Step 4: Simplify right side
    899.10x = 691,476.47
  5. Step 5: Solve for x
    x = 691,476.47/899.10
  6. Step 6: Final answer
    x = 769.08

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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.