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Finding the Fourth Proportional to 899.66, 1,349.17 and 351.79

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Solution

The fourth proportional to 899.66, 1,349.17 and 351.79 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.66 : 1,349.17 = 351.79 : x
  2. Step 2: Convert to fraction form
    899.66/1,349.17 = 351.79/x
  3. Step 3: Cross multiply
    899.66x = 1,349.17 × 351.79
  4. Step 4: Simplify right side
    899.66x = 474,624.51
  5. Step 5: Solve for x
    x = 474,624.51/899.66
  6. Step 6: Final answer
    x = 527.56

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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.