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Finding the Fourth Proportional to 899.82, 1,349.76 and 386.82

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Solution

The fourth proportional to 899.82, 1,349.76 and 386.82 is: 580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.82 : 1,349.76 = 386.82 : x
  2. Step 2: Convert to fraction form
    899.82/1,349.76 = 386.82/x
  3. Step 3: Cross multiply
    899.82x = 1,349.76 × 386.82
  4. Step 4: Simplify right side
    899.82x = 522,114.16
  5. Step 5: Solve for x
    x = 522,114.16/899.82
  6. Step 6: Final answer
    x = 580.24

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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.