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Finding the Fourth Proportional to 799.66, 1,199.01 and 312.94

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Solution

The fourth proportional to 799.66, 1,199.01 and 312.94 is: 469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.66 : 1,199.01 = 312.94 : x
  2. Step 2: Convert to fraction form
    799.66/1,199.01 = 312.94/x
  3. Step 3: Cross multiply
    799.66x = 1,199.01 × 312.94
  4. Step 4: Simplify right side
    799.66x = 375,218.19
  5. Step 5: Solve for x
    x = 375,218.19/799.66
  6. Step 6: Final answer
    x = 469.22

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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.