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Finding the Fourth Proportional to 808.94, 1,210.64 and 672.23

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Solution

The fourth proportional to 808.94, 1,210.64 and 672.23 is: 1,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.94 : 1,210.64 = 672.23 : x
  2. Step 2: Convert to fraction form
    808.94/1,210.64 = 672.23/x
  3. Step 3: Cross multiply
    808.94x = 1,210.64 × 672.23
  4. Step 4: Simplify right side
    808.94x = 813,819.11
  5. Step 5: Solve for x
    x = 813,819.11/808.94
  6. Step 6: Final answer
    x = 1,006.04

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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.