Home / 1,026.24-1,539.51-539.33

Finding the Fourth Proportional to 1,026.24, 1,539.51 and 539.33

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Solution

The fourth proportional to 1,026.24, 1,539.51 and 539.33 is: 809.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.24 : 1,539.51 = 539.33 : x
  2. Step 2: Convert to fraction form
    1,026.24/1,539.51 = 539.33/x
  3. Step 3: Cross multiply
    1,026.24x = 1,539.51 × 539.33
  4. Step 4: Simplify right side
    1,026.24x = 830,294.21
  5. Step 5: Solve for x
    x = 830,294.21/1,026.24
  6. Step 6: Final answer
    x = 809.07

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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.