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Finding the Fourth Proportional to 821.63, 1,231.53 and 411.11

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Solution

The fourth proportional to 821.63, 1,231.53 and 411.11 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.63 : 1,231.53 = 411.11 : x
  2. Step 2: Convert to fraction form
    821.63/1,231.53 = 411.11/x
  3. Step 3: Cross multiply
    821.63x = 1,231.53 × 411.11
  4. Step 4: Simplify right side
    821.63x = 506,294.30
  5. Step 5: Solve for x
    x = 506,294.30/821.63
  6. Step 6: Final answer
    x = 616.21

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Half scale
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Double scale
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1.5x scale

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.