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Finding the Fourth Proportional to 785.79, 1,177.77 and 352.04

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Solution

The fourth proportional to 785.79, 1,177.77 and 352.04 is: 527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.79 : 1,177.77 = 352.04 : x
  2. Step 2: Convert to fraction form
    785.79/1,177.77 = 352.04/x
  3. Step 3: Cross multiply
    785.79x = 1,177.77 × 352.04
  4. Step 4: Simplify right side
    785.79x = 414,616.26
  5. Step 5: Solve for x
    x = 414,616.26/785.79
  6. Step 6: Final answer
    x = 527.64

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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.