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Finding the Fourth Proportional to 821.08, 1,230.36 and 382.06

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Solution

The fourth proportional to 821.08, 1,230.36 and 382.06 is: 572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.08 : 1,230.36 = 382.06 : x
  2. Step 2: Convert to fraction form
    821.08/1,230.36 = 382.06/x
  3. Step 3: Cross multiply
    821.08x = 1,230.36 × 382.06
  4. Step 4: Simplify right side
    821.08x = 470,071.34
  5. Step 5: Solve for x
    x = 470,071.34/821.08
  6. Step 6: Final answer
    x = 572.50

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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.