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Finding the Fourth Proportional to 859.14, 1,185.39 and 509.67

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Solution

The fourth proportional to 859.14, 1,185.39 and 509.67 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.14 : 1,185.39 = 509.67 : x
  2. Step 2: Convert to fraction form
    859.14/1,185.39 = 509.67/x
  3. Step 3: Cross multiply
    859.14x = 1,185.39 × 509.67
  4. Step 4: Simplify right side
    859.14x = 604,157.72
  5. Step 5: Solve for x
    x = 604,157.72/859.14
  6. Step 6: Final answer
    x = 703.21

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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.