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Finding the Fourth Proportional to 859.79, 1,186.62 and 528.46

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Solution

The fourth proportional to 859.79, 1,186.62 and 528.46 is: 729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.79 : 1,186.62 = 528.46 : x
  2. Step 2: Convert to fraction form
    859.79/1,186.62 = 528.46/x
  3. Step 3: Cross multiply
    859.79x = 1,186.62 × 528.46
  4. Step 4: Simplify right side
    859.79x = 627,081.21
  5. Step 5: Solve for x
    x = 627,081.21/859.79
  6. Step 6: Final answer
    x = 729.34

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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.