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Finding the Fourth Proportional to 899.19, 1,349.04 and 343.83

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Solution

The fourth proportional to 899.19, 1,349.04 and 343.83 is: 515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.19 : 1,349.04 = 343.83 : x
  2. Step 2: Convert to fraction form
    899.19/1,349.04 = 343.83/x
  3. Step 3: Cross multiply
    899.19x = 1,349.04 × 343.83
  4. Step 4: Simplify right side
    899.19x = 463,840.42
  5. Step 5: Solve for x
    x = 463,840.42/899.19
  6. Step 6: Final answer
    x = 515.84

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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.