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Finding the Fourth Proportional to 667.82, 996.58 and 595.10

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Solution

The fourth proportional to 667.82, 996.58 and 595.10 is: 888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 996.58 = 595.10 : x
  2. Step 2: Convert to fraction form
    667.82/996.58 = 595.10/x
  3. Step 3: Cross multiply
    667.82x = 996.58 × 595.10
  4. Step 4: Simplify right side
    667.82x = 593,064.76
  5. Step 5: Solve for x
    x = 593,064.76/667.82
  6. Step 6: Final answer
    x = 888.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.