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Finding the Fourth Proportional to 808.02, 1,211.67 and 576.18

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Solution

The fourth proportional to 808.02, 1,211.67 and 576.18 is: 864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.02 : 1,211.67 = 576.18 : x
  2. Step 2: Convert to fraction form
    808.02/1,211.67 = 576.18/x
  3. Step 3: Cross multiply
    808.02x = 1,211.67 × 576.18
  4. Step 4: Simplify right side
    808.02x = 698,140.02
  5. Step 5: Solve for x
    x = 698,140.02/808.02
  6. Step 6: Final answer
    x = 864.01

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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.