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Finding the Fourth Proportional to 733.13, 1,011.65 and 418.46

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Solution

The fourth proportional to 733.13, 1,011.65 and 418.46 is: 577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.13 : 1,011.65 = 418.46 : x
  2. Step 2: Convert to fraction form
    733.13/1,011.65 = 418.46/x
  3. Step 3: Cross multiply
    733.13x = 1,011.65 × 418.46
  4. Step 4: Simplify right side
    733.13x = 423,336.54
  5. Step 5: Solve for x
    x = 423,336.54/733.13
  6. Step 6: Final answer
    x = 577.44

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