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Finding the Fourth Proportional to 733.49, 1,012.62 and 564.08

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Solution

The fourth proportional to 733.49, 1,012.62 and 564.08 is: 778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.49 : 1,012.62 = 564.08 : x
  2. Step 2: Convert to fraction form
    733.49/1,012.62 = 564.08/x
  3. Step 3: Cross multiply
    733.49x = 1,012.62 × 564.08
  4. Step 4: Simplify right side
    733.49x = 571,198.69
  5. Step 5: Solve for x
    x = 571,198.69/733.49
  6. Step 6: Final answer
    x = 778.74

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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.