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Finding the Fourth Proportional to 1,450.16, 2,175.33 and 719.54

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Solution

The fourth proportional to 1,450.16, 2,175.33 and 719.54 is: 1,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.16 : 2,175.33 = 719.54 : x
  2. Step 2: Convert to fraction form
    1,450.16/2,175.33 = 719.54/x
  3. Step 3: Cross multiply
    1,450.16x = 2,175.33 × 719.54
  4. Step 4: Simplify right side
    1,450.16x = 1,565,226.07
  5. Step 5: Solve for x
    x = 1,565,226.07/1,450.16
  6. Step 6: Final answer
    x = 1,079.35

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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.