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Finding the Fourth Proportional to 669.04, 1,003 and 582.16

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Solution

The fourth proportional to 669.04, 1,003 and 582.16 is: 872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.04 : 1,003 = 582.16 : x
  2. Step 2: Convert to fraction form
    669.04/1,003 = 582.16/x
  3. Step 3: Cross multiply
    669.04x = 1,003 × 582.16
  4. Step 4: Simplify right side
    669.04x = 583,906.48
  5. Step 5: Solve for x
    x = 583,906.48/669.04
  6. Step 6: Final answer
    x = 872.75

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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.