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Finding the Fourth Proportional to 1,014.40, 1,397.46 and 836.20

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Solution

The fourth proportional to 1,014.40, 1,397.46 and 836.20 is: 1,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.40 : 1,397.46 = 836.20 : x
  2. Step 2: Convert to fraction form
    1,014.40/1,397.46 = 836.20/x
  3. Step 3: Cross multiply
    1,014.40x = 1,397.46 × 836.20
  4. Step 4: Simplify right side
    1,014.40x = 1,168,556.05
  5. Step 5: Solve for x
    x = 1,168,556.05/1,014.40
  6. Step 6: Final answer
    x = 1,151.97

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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.