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Finding the Fourth Proportional to 1,202.67, 1,802.92 and 432.99

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Solution

The fourth proportional to 1,202.67, 1,802.92 and 432.99 is: 649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.67 : 1,802.92 = 432.99 : x
  2. Step 2: Convert to fraction form
    1,202.67/1,802.92 = 432.99/x
  3. Step 3: Cross multiply
    1,202.67x = 1,802.92 × 432.99
  4. Step 4: Simplify right side
    1,202.67x = 780,635.15
  5. Step 5: Solve for x
    x = 780,635.15/1,202.67
  6. Step 6: Final answer
    x = 649.09

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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.