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Finding the Fourth Proportional to 899.98, 1,349.64 and 437.62

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Solution

The fourth proportional to 899.98, 1,349.64 and 437.62 is: 656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.98 : 1,349.64 = 437.62 : x
  2. Step 2: Convert to fraction form
    899.98/1,349.64 = 437.62/x
  3. Step 3: Cross multiply
    899.98x = 1,349.64 × 437.62
  4. Step 4: Simplify right side
    899.98x = 590,629.46
  5. Step 5: Solve for x
    x = 590,629.46/899.98
  6. Step 6: Final answer
    x = 656.27

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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.