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Finding the Fourth Proportional to 859.32, 1,185.46 and 505.13

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Solution

The fourth proportional to 859.32, 1,185.46 and 505.13 is: 696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.32 : 1,185.46 = 505.13 : x
  2. Step 2: Convert to fraction form
    859.32/1,185.46 = 505.13/x
  3. Step 3: Cross multiply
    859.32x = 1,185.46 × 505.13
  4. Step 4: Simplify right side
    859.32x = 598,811.41
  5. Step 5: Solve for x
    x = 598,811.41/859.32
  6. Step 6: Final answer
    x = 696.84

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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.