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Finding the Fourth Proportional to 694.34, 1,044.98 and 521.90

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Solution

The fourth proportional to 694.34, 1,044.98 and 521.90 is: 785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.34 : 1,044.98 = 521.90 : x
  2. Step 2: Convert to fraction form
    694.34/1,044.98 = 521.90/x
  3. Step 3: Cross multiply
    694.34x = 1,044.98 × 521.90
  4. Step 4: Simplify right side
    694.34x = 545,371.14
  5. Step 5: Solve for x
    x = 545,371.14/694.34
  6. Step 6: Final answer
    x = 785.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.