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Finding the Fourth Proportional to 667.55, 1,003.16 and 582.91

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Solution

The fourth proportional to 667.55, 1,003.16 and 582.91 is: 875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.55 : 1,003.16 = 582.91 : x
  2. Step 2: Convert to fraction form
    667.55/1,003.16 = 582.91/x
  3. Step 3: Cross multiply
    667.55x = 1,003.16 × 582.91
  4. Step 4: Simplify right side
    667.55x = 584,750.94
  5. Step 5: Solve for x
    x = 584,750.94/667.55
  6. Step 6: Final answer
    x = 875.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.