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Finding the Fourth Proportional to 785.35, 1,178.17 and 352.50

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Solution

The fourth proportional to 785.35, 1,178.17 and 352.50 is: 528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.35 : 1,178.17 = 352.50 : x
  2. Step 2: Convert to fraction form
    785.35/1,178.17 = 352.50/x
  3. Step 3: Cross multiply
    785.35x = 1,178.17 × 352.50
  4. Step 4: Simplify right side
    785.35x = 415,304.93
  5. Step 5: Solve for x
    x = 415,304.93/785.35
  6. Step 6: Final answer
    x = 528.82

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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.