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Finding the Fourth Proportional to 801.67, 1,202.84 and 390.81

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Solution

The fourth proportional to 801.67, 1,202.84 and 390.81 is: 586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.67 : 1,202.84 = 390.81 : x
  2. Step 2: Convert to fraction form
    801.67/1,202.84 = 390.81/x
  3. Step 3: Cross multiply
    801.67x = 1,202.84 × 390.81
  4. Step 4: Simplify right side
    801.67x = 470,075.89
  5. Step 5: Solve for x
    x = 470,075.89/801.67
  6. Step 6: Final answer
    x = 586.37

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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.