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Finding the Fourth Proportional to 885.41, 1,222.75 and 729.59

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Solution

The fourth proportional to 885.41, 1,222.75 and 729.59 is: 1,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.41 : 1,222.75 = 729.59 : x
  2. Step 2: Convert to fraction form
    885.41/1,222.75 = 729.59/x
  3. Step 3: Cross multiply
    885.41x = 1,222.75 × 729.59
  4. Step 4: Simplify right side
    885.41x = 892,103.26
  5. Step 5: Solve for x
    x = 892,103.26/885.41
  6. Step 6: Final answer
    x = 1,007.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.