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Finding the Fourth Proportional to 983.04, 1,353.84 and 877.68

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Solution

The fourth proportional to 983.04, 1,353.84 and 877.68 is: 1,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,353.84 = 877.68 : x
  2. Step 2: Convert to fraction form
    983.04/1,353.84 = 877.68/x
  3. Step 3: Cross multiply
    983.04x = 1,353.84 × 877.68
  4. Step 4: Simplify right side
    983.04x = 1,188,238.29
  5. Step 5: Solve for x
    x = 1,188,238.29/983.04
  6. Step 6: Final answer
    x = 1,208.74

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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.