Home / 1,043.96-1,566.23-523.33

Finding the Fourth Proportional to 1,043.96, 1,566.23 and 523.33

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Solution

The fourth proportional to 1,043.96, 1,566.23 and 523.33 is: 785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.96 : 1,566.23 = 523.33 : x
  2. Step 2: Convert to fraction form
    1,043.96/1,566.23 = 523.33/x
  3. Step 3: Cross multiply
    1,043.96x = 1,566.23 × 523.33
  4. Step 4: Simplify right side
    1,043.96x = 819,644.70
  5. Step 5: Solve for x
    x = 819,644.70/1,043.96
  6. Step 6: Final answer
    x = 785.13

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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.