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Finding the Fourth Proportional to 899.22, 1,348.86 and 837.42

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Solution

The fourth proportional to 899.22, 1,348.86 and 837.42 is: 1,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.22 : 1,348.86 = 837.42 : x
  2. Step 2: Convert to fraction form
    899.22/1,348.86 = 837.42/x
  3. Step 3: Cross multiply
    899.22x = 1,348.86 × 837.42
  4. Step 4: Simplify right side
    899.22x = 1,129,562.34
  5. Step 5: Solve for x
    x = 1,129,562.34/899.22
  6. Step 6: Final answer
    x = 1,256.16

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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.