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Finding the Fourth Proportional to 1,450.84, 2,176.14 and 720.28

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Solution

The fourth proportional to 1,450.84, 2,176.14 and 720.28 is: 1,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.84 : 2,176.14 = 720.28 : x
  2. Step 2: Convert to fraction form
    1,450.84/2,176.14 = 720.28/x
  3. Step 3: Cross multiply
    1,450.84x = 2,176.14 × 720.28
  4. Step 4: Simplify right side
    1,450.84x = 1,567,430.12
  5. Step 5: Solve for x
    x = 1,567,430.12/1,450.84
  6. Step 6: Final answer
    x = 1,080.36

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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.