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Finding the Fourth Proportional to 899.34, 1,349.16 and 552.45

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Solution

The fourth proportional to 899.34, 1,349.16 and 552.45 is: 828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.34 : 1,349.16 = 552.45 : x
  2. Step 2: Convert to fraction form
    899.34/1,349.16 = 552.45/x
  3. Step 3: Cross multiply
    899.34x = 1,349.16 × 552.45
  4. Step 4: Simplify right side
    899.34x = 745,343.44
  5. Step 5: Solve for x
    x = 745,343.44/899.34
  6. Step 6: Final answer
    x = 828.77

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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.