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Finding the Fourth Proportional to 800.02, 1,103.81 and 468.53

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Solution

The fourth proportional to 800.02, 1,103.81 and 468.53 is: 646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.02 : 1,103.81 = 468.53 : x
  2. Step 2: Convert to fraction form
    800.02/1,103.81 = 468.53/x
  3. Step 3: Cross multiply
    800.02x = 1,103.81 × 468.53
  4. Step 4: Simplify right side
    800.02x = 517,168.10
  5. Step 5: Solve for x
    x = 517,168.10/800.02
  6. Step 6: Final answer
    x = 646.44

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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.