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Finding the Fourth Proportional to 899.68, 1,349.52 and 466.96

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Solution

The fourth proportional to 899.68, 1,349.52 and 466.96 is: 700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.68 : 1,349.52 = 466.96 : x
  2. Step 2: Convert to fraction form
    899.68/1,349.52 = 466.96/x
  3. Step 3: Cross multiply
    899.68x = 1,349.52 × 466.96
  4. Step 4: Simplify right side
    899.68x = 630,171.86
  5. Step 5: Solve for x
    x = 630,171.86/899.68
  6. Step 6: Final answer
    x = 700.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.