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Finding the Fourth Proportional to 808.44, 1,210.08 and 732.66

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Solution

The fourth proportional to 808.44, 1,210.08 and 732.66 is: 1,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.44 : 1,210.08 = 732.66 : x
  2. Step 2: Convert to fraction form
    808.44/1,210.08 = 732.66/x
  3. Step 3: Cross multiply
    808.44x = 1,210.08 × 732.66
  4. Step 4: Simplify right side
    808.44x = 886,577.21
  5. Step 5: Solve for x
    x = 886,577.21/808.44
  6. Step 6: Final answer
    x = 1,096.65

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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.