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Finding the Fourth Proportional to 731, 1,089.19 and 675.11

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Solution

The fourth proportional to 731, 1,089.19 and 675.11 is: 1,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    731 : 1,089.19 = 675.11 : x
  2. Step 2: Convert to fraction form
    731/1,089.19 = 675.11/x
  3. Step 3: Cross multiply
    731x = 1,089.19 × 675.11
  4. Step 4: Simplify right side
    731x = 735,323.06
  5. Step 5: Solve for x
    x = 735,323.06/731
  6. Step 6: Final answer
    x = 1,005.91

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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.