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Finding the Fourth Proportional to 726.03, 1,082.67 and 719.45

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Solution

The fourth proportional to 726.03, 1,082.67 and 719.45 is: 1,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.03 : 1,082.67 = 719.45 : x
  2. Step 2: Convert to fraction form
    726.03/1,082.67 = 719.45/x
  3. Step 3: Cross multiply
    726.03x = 1,082.67 × 719.45
  4. Step 4: Simplify right side
    726.03x = 778,926.93
  5. Step 5: Solve for x
    x = 778,926.93/726.03
  6. Step 6: Final answer
    x = 1,072.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.