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Finding the Fourth Proportional to 800.10, 1,199.85 and 313.04

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Solution

The fourth proportional to 800.10, 1,199.85 and 313.04 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.10 : 1,199.85 = 313.04 : x
  2. Step 2: Convert to fraction form
    800.10/1,199.85 = 313.04/x
  3. Step 3: Cross multiply
    800.10x = 1,199.85 × 313.04
  4. Step 4: Simplify right side
    800.10x = 375,602.87
  5. Step 5: Solve for x
    x = 375,602.87/800.10
  6. Step 6: Final answer
    x = 469.44

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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.