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Finding the Fourth Proportional to 859.34, 1,185.80 and 505.20

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Solution

The fourth proportional to 859.34, 1,185.80 and 505.20 is: 697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.34 : 1,185.80 = 505.20 : x
  2. Step 2: Convert to fraction form
    859.34/1,185.80 = 505.20/x
  3. Step 3: Cross multiply
    859.34x = 1,185.80 × 505.20
  4. Step 4: Simplify right side
    859.34x = 599,066.16
  5. Step 5: Solve for x
    x = 599,066.16/859.34
  6. Step 6: Final answer
    x = 697.12

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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.