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Finding the Fourth Proportional to 1,243.11, 1,714.36 and 962.45

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Solution

The fourth proportional to 1,243.11, 1,714.36 and 962.45 is: 1,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.11 : 1,714.36 = 962.45 : x
  2. Step 2: Convert to fraction form
    1,243.11/1,714.36 = 962.45/x
  3. Step 3: Cross multiply
    1,243.11x = 1,714.36 × 962.45
  4. Step 4: Simplify right side
    1,243.11x = 1,649,985.78
  5. Step 5: Solve for x
    x = 1,649,985.78/1,243.11
  6. Step 6: Final answer
    x = 1,327.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.