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Finding the Fourth Proportional to 1,084.91, 1,487.41 and 1,065.22

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Solution

The fourth proportional to 1,084.91, 1,487.41 and 1,065.22 is: 1,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.91 : 1,487.41 = 1,065.22 : x
  2. Step 2: Convert to fraction form
    1,084.91/1,487.41 = 1,065.22/x
  3. Step 3: Cross multiply
    1,084.91x = 1,487.41 × 1,065.22
  4. Step 4: Simplify right side
    1,084.91x = 1,584,412.50
  5. Step 5: Solve for x
    x = 1,584,412.50/1,084.91
  6. Step 6: Final answer
    x = 1,460.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.