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Finding the Fourth Proportional to 1,111.84, 1,536.24 and 880.72

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Solution

The fourth proportional to 1,111.84, 1,536.24 and 880.72 is: 1,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.84 : 1,536.24 = 880.72 : x
  2. Step 2: Convert to fraction form
    1,111.84/1,536.24 = 880.72/x
  3. Step 3: Cross multiply
    1,111.84x = 1,536.24 × 880.72
  4. Step 4: Simplify right side
    1,111.84x = 1,352,997.29
  5. Step 5: Solve for x
    x = 1,352,997.29/1,111.84
  6. Step 6: Final answer
    x = 1,216.90

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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.