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Finding the Fourth Proportional to 859.47, 1,186.29 and 505.44

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Solution

The fourth proportional to 859.47, 1,186.29 and 505.44 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.47 : 1,186.29 = 505.44 : x
  2. Step 2: Convert to fraction form
    859.47/1,186.29 = 505.44/x
  3. Step 3: Cross multiply
    859.47x = 1,186.29 × 505.44
  4. Step 4: Simplify right side
    859.47x = 599,598.42
  5. Step 5: Solve for x
    x = 599,598.42/859.47
  6. Step 6: Final answer
    x = 697.64

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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.