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Finding the Fourth Proportional to 539.19, 803.26 and 519.59

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Solution

The fourth proportional to 539.19, 803.26 and 519.59 is: 774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.19 : 803.26 = 519.59 : x
  2. Step 2: Convert to fraction form
    539.19/803.26 = 519.59/x
  3. Step 3: Cross multiply
    539.19x = 803.26 × 519.59
  4. Step 4: Simplify right side
    539.19x = 417,368.52
  5. Step 5: Solve for x
    x = 417,368.52/539.19
  6. Step 6: Final answer
    x = 774.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.