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Finding the Fourth Proportional to 786.19, 1,177.83 and 395.74

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Solution

The fourth proportional to 786.19, 1,177.83 and 395.74 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.19 : 1,177.83 = 395.74 : x
  2. Step 2: Convert to fraction form
    786.19/1,177.83 = 395.74/x
  3. Step 3: Cross multiply
    786.19x = 1,177.83 × 395.74
  4. Step 4: Simplify right side
    786.19x = 466,114.44
  5. Step 5: Solve for x
    x = 466,114.44/786.19
  6. Step 6: Final answer
    x = 592.88

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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.