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Finding the Fourth Proportional to 800.00, 1,103.90 and 468.35

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Solution

The fourth proportional to 800.00, 1,103.90 and 468.35 is: 646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.00 : 1,103.90 = 468.35 : x
  2. Step 2: Convert to fraction form
    800.00/1,103.90 = 468.35/x
  3. Step 3: Cross multiply
    800.00x = 1,103.90 × 468.35
  4. Step 4: Simplify right side
    800.00x = 517,003.70
  5. Step 5: Solve for x
    x = 517,003.70/800.00
  6. Step 6: Final answer
    x = 646.26

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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.