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Finding the Fourth Proportional to 785.86, 1,179.10 and 352.71

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Solution

The fourth proportional to 785.86, 1,179.10 and 352.71 is: 529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.86 : 1,179.10 = 352.71 : x
  2. Step 2: Convert to fraction form
    785.86/1,179.10 = 352.71/x
  3. Step 3: Cross multiply
    785.86x = 1,179.10 × 352.71
  4. Step 4: Simplify right side
    785.86x = 415,878.60
  5. Step 5: Solve for x
    x = 415,878.60/785.86
  6. Step 6: Final answer
    x = 529.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.