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Finding the Fourth Proportional to 1,210.92, 1,817.10 and 633.84

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Solution

The fourth proportional to 1,210.92, 1,817.10 and 633.84 is: 951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.92 : 1,817.10 = 633.84 : x
  2. Step 2: Convert to fraction form
    1,210.92/1,817.10 = 633.84/x
  3. Step 3: Cross multiply
    1,210.92x = 1,817.10 × 633.84
  4. Step 4: Simplify right side
    1,210.92x = 1,151,750.66
  5. Step 5: Solve for x
    x = 1,151,750.66/1,210.92
  6. Step 6: Final answer
    x = 951.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.