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Finding the Fourth Proportional to 879.21, 1,316.37 and 742.32

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Solution

The fourth proportional to 879.21, 1,316.37 and 742.32 is: 1,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.21 : 1,316.37 = 742.32 : x
  2. Step 2: Convert to fraction form
    879.21/1,316.37 = 742.32/x
  3. Step 3: Cross multiply
    879.21x = 1,316.37 × 742.32
  4. Step 4: Simplify right side
    879.21x = 977,167.78
  5. Step 5: Solve for x
    x = 977,167.78/879.21
  6. Step 6: Final answer
    x = 1,111.42

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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.