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Finding the Fourth Proportional to 785.75, 1,178.61 and 352.60

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Solution

The fourth proportional to 785.75, 1,178.61 and 352.60 is: 528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.75 : 1,178.61 = 352.60 : x
  2. Step 2: Convert to fraction form
    785.75/1,178.61 = 352.60/x
  3. Step 3: Cross multiply
    785.75x = 1,178.61 × 352.60
  4. Step 4: Simplify right side
    785.75x = 415,574.94
  5. Step 5: Solve for x
    x = 415,574.94/785.75
  6. Step 6: Final answer
    x = 528.89

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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.