Home / 1,299.23-1,948.85-433.54

Finding the Fourth Proportional to 1,299.23, 1,948.85 and 433.54

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Solution

The fourth proportional to 1,299.23, 1,948.85 and 433.54 is: 650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.23 : 1,948.85 = 433.54 : x
  2. Step 2: Convert to fraction form
    1,299.23/1,948.85 = 433.54/x
  3. Step 3: Cross multiply
    1,299.23x = 1,948.85 × 433.54
  4. Step 4: Simplify right side
    1,299.23x = 844,892.52
  5. Step 5: Solve for x
    x = 844,892.52/1,299.23
  6. Step 6: Final answer
    x = 650.31

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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.