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Finding the Fourth Proportional to 859.60, 1,186.26 and 505.76

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Solution

The fourth proportional to 859.60, 1,186.26 and 505.76 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.60 : 1,186.26 = 505.76 : x
  2. Step 2: Convert to fraction form
    859.60/1,186.26 = 505.76/x
  3. Step 3: Cross multiply
    859.60x = 1,186.26 × 505.76
  4. Step 4: Simplify right side
    859.60x = 599,962.86
  5. Step 5: Solve for x
    x = 599,962.86/859.60
  6. Step 6: Final answer
    x = 697.96

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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.