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Finding the Fourth Proportional to 785.42, 1,177.74 and 473.39

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Solution

The fourth proportional to 785.42, 1,177.74 and 473.39 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,177.74 = 473.39 : x
  2. Step 2: Convert to fraction form
    785.42/1,177.74 = 473.39/x
  3. Step 3: Cross multiply
    785.42x = 1,177.74 × 473.39
  4. Step 4: Simplify right side
    785.42x = 557,524.45
  5. Step 5: Solve for x
    x = 557,524.45/785.42
  6. Step 6: Final answer
    x = 709.85

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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.