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Finding the Fourth Proportional to 785.77, 1,177.63 and 323.02

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Solution

The fourth proportional to 785.77, 1,177.63 and 323.02 is: 484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.77 : 1,177.63 = 323.02 : x
  2. Step 2: Convert to fraction form
    785.77/1,177.63 = 323.02/x
  3. Step 3: Cross multiply
    785.77x = 1,177.63 × 323.02
  4. Step 4: Simplify right side
    785.77x = 380,398.04
  5. Step 5: Solve for x
    x = 380,398.04/785.77
  6. Step 6: Final answer
    x = 484.11

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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.