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Finding the Fourth Proportional to 859, 1,185.42 and 509.98

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Solution

The fourth proportional to 859, 1,185.42 and 509.98 is: 703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    859 : 1,185.42 = 509.98 : x
  2. Step 2: Convert to fraction form
    859/1,185.42 = 509.98/x
  3. Step 3: Cross multiply
    859x = 1,185.42 × 509.98
  4. Step 4: Simplify right side
    859x = 604,540.49
  5. Step 5: Solve for x
    x = 604,540.49/859
  6. Step 6: Final answer
    x = 703.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.