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Finding the Fourth Proportional to 733.57, 1,098.22 and 570.76

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Solution

The fourth proportional to 733.57, 1,098.22 and 570.76 is: 854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.57 : 1,098.22 = 570.76 : x
  2. Step 2: Convert to fraction form
    733.57/1,098.22 = 570.76/x
  3. Step 3: Cross multiply
    733.57x = 1,098.22 × 570.76
  4. Step 4: Simplify right side
    733.57x = 626,815.87
  5. Step 5: Solve for x
    x = 626,815.87/733.57
  6. Step 6: Final answer
    x = 854.48

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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.