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Finding the Fourth Proportional to 885.36, 1,321.56 and 821.11

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Solution

The fourth proportional to 885.36, 1,321.56 and 821.11 is: 1,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.36 : 1,321.56 = 821.11 : x
  2. Step 2: Convert to fraction form
    885.36/1,321.56 = 821.11/x
  3. Step 3: Cross multiply
    885.36x = 1,321.56 × 821.11
  4. Step 4: Simplify right side
    885.36x = 1,085,146.13
  5. Step 5: Solve for x
    x = 1,085,146.13/885.36
  6. Step 6: Final answer
    x = 1,225.66

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1.5x scale

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.