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Finding the Fourth Proportional to 733.36, 1,011.25 and 599.58

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Solution

The fourth proportional to 733.36, 1,011.25 and 599.58 is: 826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.36 : 1,011.25 = 599.58 : x
  2. Step 2: Convert to fraction form
    733.36/1,011.25 = 599.58/x
  3. Step 3: Cross multiply
    733.36x = 1,011.25 × 599.58
  4. Step 4: Simplify right side
    733.36x = 606,325.28
  5. Step 5: Solve for x
    x = 606,325.28/733.36
  6. Step 6: Final answer
    x = 826.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.