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Finding the Fourth Proportional to 885.25, 1,327.06 and 446.23

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Solution

The fourth proportional to 885.25, 1,327.06 and 446.23 is: 668.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.25 : 1,327.06 = 446.23 : x
  2. Step 2: Convert to fraction form
    885.25/1,327.06 = 446.23/x
  3. Step 3: Cross multiply
    885.25x = 1,327.06 × 446.23
  4. Step 4: Simplify right side
    885.25x = 592,173.98
  5. Step 5: Solve for x
    x = 592,173.98/885.25
  6. Step 6: Final answer
    x = 668.93

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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.