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Finding the Fourth Proportional to 925.97, 1,389.38 and 733.01

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Solution

The fourth proportional to 925.97, 1,389.38 and 733.01 is: 1,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.97 : 1,389.38 = 733.01 : x
  2. Step 2: Convert to fraction form
    925.97/1,389.38 = 733.01/x
  3. Step 3: Cross multiply
    925.97x = 1,389.38 × 733.01
  4. Step 4: Simplify right side
    925.97x = 1,018,425.77
  5. Step 5: Solve for x
    x = 1,018,425.77/925.97
  6. Step 6: Final answer
    x = 1,099.85

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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.