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Finding the Fourth Proportional to 859.84, 1,186.68 and 505.84

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Solution

The fourth proportional to 859.84, 1,186.68 and 505.84 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.84 : 1,186.68 = 505.84 : x
  2. Step 2: Convert to fraction form
    859.84/1,186.68 = 505.84/x
  3. Step 3: Cross multiply
    859.84x = 1,186.68 × 505.84
  4. Step 4: Simplify right side
    859.84x = 600,270.21
  5. Step 5: Solve for x
    x = 600,270.21/859.84
  6. Step 6: Final answer
    x = 698.12

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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.