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Finding the Fourth Proportional to 808.24, 1,213.08 and 375.64

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Solution

The fourth proportional to 808.24, 1,213.08 and 375.64 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.24 : 1,213.08 = 375.64 : x
  2. Step 2: Convert to fraction form
    808.24/1,213.08 = 375.64/x
  3. Step 3: Cross multiply
    808.24x = 1,213.08 × 375.64
  4. Step 4: Simplify right side
    808.24x = 455,681.37
  5. Step 5: Solve for x
    x = 455,681.37/808.24
  6. Step 6: Final answer
    x = 563.79

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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.