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Finding the Fourth Proportional to 1,077.12, 1,486.92 and 882.72

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Solution

The fourth proportional to 1,077.12, 1,486.92 and 882.72 is: 1,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.12 : 1,486.92 = 882.72 : x
  2. Step 2: Convert to fraction form
    1,077.12/1,486.92 = 882.72/x
  3. Step 3: Cross multiply
    1,077.12x = 1,486.92 × 882.72
  4. Step 4: Simplify right side
    1,077.12x = 1,312,534.02
  5. Step 5: Solve for x
    x = 1,312,534.02/1,077.12
  6. Step 6: Final answer
    x = 1,218.56

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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.