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Finding the Fourth Proportional to 1,172.01, 1,615.15 and 839.86

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Solution

The fourth proportional to 1,172.01, 1,615.15 and 839.86 is: 1,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.01 : 1,615.15 = 839.86 : x
  2. Step 2: Convert to fraction form
    1,172.01/1,615.15 = 839.86/x
  3. Step 3: Cross multiply
    1,172.01x = 1,615.15 × 839.86
  4. Step 4: Simplify right side
    1,172.01x = 1,356,499.88
  5. Step 5: Solve for x
    x = 1,356,499.88/1,172.01
  6. Step 6: Final answer
    x = 1,157.41

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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.