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Finding the Fourth Proportional to 1,104.51, 1,660.71 and 1,018.90

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Solution

The fourth proportional to 1,104.51, 1,660.71 and 1,018.90 is: 1,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.51 : 1,660.71 = 1,018.90 : x
  2. Step 2: Convert to fraction form
    1,104.51/1,660.71 = 1,018.90/x
  3. Step 3: Cross multiply
    1,104.51x = 1,660.71 × 1,018.90
  4. Step 4: Simplify right side
    1,104.51x = 1,692,097.42
  5. Step 5: Solve for x
    x = 1,692,097.42/1,104.51
  6. Step 6: Final answer
    x = 1,531.99

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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.