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Finding the Fourth Proportional to 800.05, 1,103.79 and 468.40

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Solution

The fourth proportional to 800.05, 1,103.79 and 468.40 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.05 : 1,103.79 = 468.40 : x
  2. Step 2: Convert to fraction form
    800.05/1,103.79 = 468.40/x
  3. Step 3: Cross multiply
    800.05x = 1,103.79 × 468.40
  4. Step 4: Simplify right side
    800.05x = 517,015.24
  5. Step 5: Solve for x
    x = 517,015.24/800.05
  6. Step 6: Final answer
    x = 646.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.