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Finding the Fourth Proportional to 695.34, 1,046.49 and 522.90

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Solution

The fourth proportional to 695.34, 1,046.49 and 522.90 is: 786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.34 : 1,046.49 = 522.90 : x
  2. Step 2: Convert to fraction form
    695.34/1,046.49 = 522.90/x
  3. Step 3: Cross multiply
    695.34x = 1,046.49 × 522.90
  4. Step 4: Simplify right side
    695.34x = 547,204.39
  5. Step 5: Solve for x
    x = 547,204.39/695.34
  6. Step 6: Final answer
    x = 786.97

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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.