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Finding the Fourth Proportional to 733.99, 1,013.31 and 564.58

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Solution

The fourth proportional to 733.99, 1,013.31 and 564.58 is: 779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.99 : 1,013.31 = 564.58 : x
  2. Step 2: Convert to fraction form
    733.99/1,013.31 = 564.58/x
  3. Step 3: Cross multiply
    733.99x = 1,013.31 × 564.58
  4. Step 4: Simplify right side
    733.99x = 572,094.56
  5. Step 5: Solve for x
    x = 572,094.56/733.99
  6. Step 6: Final answer
    x = 779.43

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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.