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Finding the Fourth Proportional to 801.02, 1,202.07 and 435.98

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Solution

The fourth proportional to 801.02, 1,202.07 and 435.98 is: 654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.02 : 1,202.07 = 435.98 : x
  2. Step 2: Convert to fraction form
    801.02/1,202.07 = 435.98/x
  3. Step 3: Cross multiply
    801.02x = 1,202.07 × 435.98
  4. Step 4: Simplify right side
    801.02x = 524,078.48
  5. Step 5: Solve for x
    x = 524,078.48/801.02
  6. Step 6: Final answer
    x = 654.26

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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.