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Finding the Fourth Proportional to 859.72, 1,186.04 and 505.46

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Solution

The fourth proportional to 859.72, 1,186.04 and 505.46 is: 697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.72 : 1,186.04 = 505.46 : x
  2. Step 2: Convert to fraction form
    859.72/1,186.04 = 505.46/x
  3. Step 3: Cross multiply
    859.72x = 1,186.04 × 505.46
  4. Step 4: Simplify right side
    859.72x = 599,495.78
  5. Step 5: Solve for x
    x = 599,495.78/859.72
  6. Step 6: Final answer
    x = 697.32

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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.