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Finding the Fourth Proportional to 1,450.71, 2,175.53 and 719.89

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Solution

The fourth proportional to 1,450.71, 2,175.53 and 719.89 is: 1,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.71 : 2,175.53 = 719.89 : x
  2. Step 2: Convert to fraction form
    1,450.71/2,175.53 = 719.89/x
  3. Step 3: Cross multiply
    1,450.71x = 2,175.53 × 719.89
  4. Step 4: Simplify right side
    1,450.71x = 1,566,133.25
  5. Step 5: Solve for x
    x = 1,566,133.25/1,450.71
  6. Step 6: Final answer
    x = 1,079.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.