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Finding the Fourth Proportional to 559.95, 839.93 and 509.55

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Solution

The fourth proportional to 559.95, 839.93 and 509.55 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.95 : 839.93 = 509.55 : x
  2. Step 2: Convert to fraction form
    559.95/839.93 = 509.55/x
  3. Step 3: Cross multiply
    559.95x = 839.93 × 509.55
  4. Step 4: Simplify right side
    559.95x = 427,983.78
  5. Step 5: Solve for x
    x = 427,983.78/559.95
  6. Step 6: Final answer
    x = 764.33

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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.