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Finding the Fourth Proportional to 1,080.71, 1,618.55 and 836.45

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Solution

The fourth proportional to 1,080.71, 1,618.55 and 836.45 is: 1,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.71 : 1,618.55 = 836.45 : x
  2. Step 2: Convert to fraction form
    1,080.71/1,618.55 = 836.45/x
  3. Step 3: Cross multiply
    1,080.71x = 1,618.55 × 836.45
  4. Step 4: Simplify right side
    1,080.71x = 1,353,831.97
  5. Step 5: Solve for x
    x = 1,353,831.97/1,080.71
  6. Step 6: Final answer
    x = 1,252.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.