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Finding the Fourth Proportional to 899.58, 1,349.57 and 466.63

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Solution

The fourth proportional to 899.58, 1,349.57 and 466.63 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.58 : 1,349.57 = 466.63 : x
  2. Step 2: Convert to fraction form
    899.58/1,349.57 = 466.63/x
  3. Step 3: Cross multiply
    899.58x = 1,349.57 × 466.63
  4. Step 4: Simplify right side
    899.58x = 629,749.85
  5. Step 5: Solve for x
    x = 629,749.85/899.58
  6. Step 6: Final answer
    x = 700.05

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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.