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Finding the Fourth Proportional to 899.86, 1,349.63 and 352.06

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Solution

The fourth proportional to 899.86, 1,349.63 and 352.06 is: 528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.86 : 1,349.63 = 352.06 : x
  2. Step 2: Convert to fraction form
    899.86/1,349.63 = 352.06/x
  3. Step 3: Cross multiply
    899.86x = 1,349.63 × 352.06
  4. Step 4: Simplify right side
    899.86x = 475,142.23
  5. Step 5: Solve for x
    x = 475,142.23/899.86
  6. Step 6: Final answer
    x = 528.02

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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.