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Finding the Fourth Proportional to 859.07, 1,185.48 and 509.75

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Solution

The fourth proportional to 859.07, 1,185.48 and 509.75 is: 703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.07 : 1,185.48 = 509.75 : x
  2. Step 2: Convert to fraction form
    859.07/1,185.48 = 509.75/x
  3. Step 3: Cross multiply
    859.07x = 1,185.48 × 509.75
  4. Step 4: Simplify right side
    859.07x = 604,295.88
  5. Step 5: Solve for x
    x = 604,295.88/859.07
  6. Step 6: Final answer
    x = 703.43

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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.