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Finding the Fourth Proportional to 1,116.12, 1,670.28 and 882.96

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Solution

The fourth proportional to 1,116.12, 1,670.28 and 882.96 is: 1,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.12 : 1,670.28 = 882.96 : x
  2. Step 2: Convert to fraction form
    1,116.12/1,670.28 = 882.96/x
  3. Step 3: Cross multiply
    1,116.12x = 1,670.28 × 882.96
  4. Step 4: Simplify right side
    1,116.12x = 1,474,790.43
  5. Step 5: Solve for x
    x = 1,474,790.43/1,116.12
  6. Step 6: Final answer
    x = 1,321.35

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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.