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Finding the Fourth Proportional to 800.65, 1,202.00 and 435.69

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Solution

The fourth proportional to 800.65, 1,202.00 and 435.69 is: 654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.65 : 1,202.00 = 435.69 : x
  2. Step 2: Convert to fraction form
    800.65/1,202.00 = 435.69/x
  3. Step 3: Cross multiply
    800.65x = 1,202.00 × 435.69
  4. Step 4: Simplify right side
    800.65x = 523,699.20
  5. Step 5: Solve for x
    x = 523,699.20/800.65
  6. Step 6: Final answer
    x = 654.09

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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.